What are the interior angles of a parallelogram when two of its angles are 2x and x degrees?
They work out as two equal opposite angles of 120 degrees and two equal opposite angles of 60 degrees.
No because the total sum of interior angles of a parallelogram are 360 degrees.
What are the angles of a parallelogram when two of its interior angles are 2x degrees and x degrees?
If: 2x+2x+x+x = 360 degrees then x = 60 degrees. Therefore angles are: 60 degrees, 60 degrees, 120 degrees and 120 degrees
No because the 4 interior angles must add up to 360 degrees
A rectangle has four interior angles that are exactly 90 degrees. A parallelogram can have two opposite angles larger than 90 and the other two, smaller than 90 degrees but still add up to 360 degrees.
It is a square, a regular parallelogram with all right angles. The reason is that in a parallelogram, the adjacent angles are supplementary (equal 180 degrees). In any case, the opposite angle would be 90 degrees as well, leaving just 180 degrees for the other two identical opposite angles.
What could describe a quadrilateral with two pairs of parallel sides and two interior angles that measure 65 degrees?
A rhombus or a parallelogram
It could be a parallelogram because opposite angles are equal and its 4 interior angles add up to 360 degrees
No it cannot, because the interior angles of a parallelogram ... or of any four-sided figure for that matter ... must add up to 360 degrees.
You cant tell. There are an infinite number of parallelograms. The only thing you know is that all four interior angles add up to 360 degrees. Also, I guess, any two adjacent interior angles add up to 180 degrees.
Each of them has four sides. Each of them has four angles. Each of them has interior angles that sum to 360 degrees. Each of them has exterior angles that sum to 360 degrees. Each of them has two diagonals. Each of them has at least two sides that are parallel.
The question does not really make sense. Once might ask, "Are consecutive angles in a parallelogram complementary?" in which case the answer is no. Complementary angles are angles which add up to 90 degrees. Consecutive angles are angles next to each other (or follow each other). In a parallelogram, consecutive angles are supplementary (add to 180 degrees). In a parallelogram, opposite angles are equal. You could have a parallelogram where two angles are 45 degree… Read More
Yes and they are one pair of opposite equal acute angles and one pair of opposite equal obtuse angles. Its 4 interior angles add up to 360 degrees.
The main difference is that a rectangle has 4 equal interior right angles whereas a parallelogram has 2 equal interior obtuse angles and 2 equal interior acute angles Both have two sets of parallel lines, but a rectangle forms four equal 90 degree angles. A parallelogram does not have four equal angles.
Depends on your question. A rectangle is a parallelogram and has 4 right angles. BUT A parallelogram can have only a total of one, two, or four right angles. Mathematically, 3 right angles is 270 degrees. A parallelogram has 360 degrees. 360 - 270 = 90 degrees = right angle.
No - the 4 internal angles of a parallelogram will always add up to 360 degrees.
No, only in a square (regular parallelogram). The opposite angles are EQUAL in a parallelogram, and the adjacent angles are SUPPLEMENTARY (they equal 180 degrees). So if any angle in a parallelogram is a right angle, they all are. Otherwise, there are no right angles. The angles of a parallelogram will average 90 degrees, as there are 360 degrees in any quadrilateral, (360/4 - 90) and 180 degrees in two adjacent non-equal angles (180/2 =… Read More
One angle of a parallelogram measures 10 degrees. What are the measures of the other three angles in the parallelogram?
If one angle is 10 degrees, its opposite angle is also 10 degrees. Since consecutive angles are supplementary, each pair of angles has to add up to 180 degrees so the other angles have to be 170 degrees. Therefore this parallelogram has two 10 degree angles and two 170 degree angles.
Two reasons: 1) The interior angles of a parallelogram aren't necessarily 90 degrees. 2) All fours side are not necessarily equal in a parallelogram (we are only guaranteed two pairs of equal sides. Note that all squares are parallelograms, though.
If two angles in a parallelogram are equal to 35 degrees what are the measurements of the other two angles?
The sum of the internal angles in a parallelogram is 360 degrees. Since there are two equal pairs of angles measuring the same, then each of the second pair of angles is equal to (360 - (35 x 2)) / 2 = 145 degrees.
Two - it has two angles greater than 90 degrees, and two (opposite) angles less than 90 degrees.
If two of the angles of a parallelogram each measure 75 degrees what is the measure of the other two angles?
They measure 105 degrees each.
Any polygon can have two interior angles of 12 degrees. No polygon can have all its interior angles of 12 degrees.
360 degrees. Same for any other rectangle, rhombus, parallelogram, or convex quadrilateral. The reason is that any quadrilateral can be divided into two triangles by drawing a diagonal and the sum of the angles of each triangle is 180 degrees.
They both have four sides, four interior angles that total 360 degrees, and two pairs of equal, parallel opposite sides. Every rhombus is a parallelogram, but not every parallelogram is a rhombus.
No, because it doesn't equal 360 degrees
No it cannot, because the four angles must sum to 360 degrees.
360 degrees. This complies with the rules of parallelograms. A parallelogram is a quadrilateral comprised of two sets of parallel lines. The opposite sides of a parallelogram are congruent, meaning that they have the same shape and size. The opposite angles are also congruent. Additionally, its consecutive angles are supplementary. This means that when when you add the two angles next to each other together, they will add up to 180 degrees, or a straight… Read More
-- A scalene triangle has three interior angles and three exterior angles. -- The sum of the interior angles is 180 degrees, and no two of them are equal. -- The sum of the exterior angles is also 180 degrees, and no two of them are equal. -- The sum of each interior angle and its adjacent exterior angle is 180 degrees.
Sides can't be 'degrees'. Those must be angles that you're talking about. If two of the angles inside a parallelogram are both 35 degrees, then they must be at opposite corners, and each of the other two corners is an angle of 145 degrees.
The angel between two altitude of a parallelogram through a vertex of an obtuse angle of the parallelogram is 60 find all the angles of the parallelogram?
A parallelogram has 2 opposite equal acute angles and 2 opposite equal obtuse angles that add up to 360 degrees and so the angles are 60, 60 120 and 120 degrees.
the two angles that are wide spread are the obtuse ones. these are angles 91 degrees and through 179 degrees. the two angles that are pinch closer together of the acute ones. these are angles 1 degrees through 89 degrees.
First of all, you know the opposite sides of a parallelogram are equal because of the definition of a parallelogram. Therefore, two adjacent angles in the parallelogram are supplementary, because same-side interior angles in two parallels and a transversal are always supplementary. Therefore, opposite angles in a paralellogram are equal, because two angles both supplementary to a third angle are equal to each other.
What are the angles in a parallelogram if the measure of one interior angle is 50 degrees more than 4 times the measure of another angle?
Opposite angles of a parallelogram are equal, and adjacent angles are supplementary. Let one angle be θ, then the adjacent angle is 4θ + 50° → θ + 4θ + 50° = 180° → 5θ = 130° → θ = 26° → The two adjacent angles are 26° and 154°. → The angles of the parallelogram are 26°, 154°, 26°, 154°.
Not normally because a parallelogram usually has two equal opposite obtuse angles and two equal opposite acute angles that all add up to 360 degrees.
A parallelogram and a trapezoid are both quadrilaterals with at one [or more] pairs of parallel sides.
Yes. Since a parallelogram can be divided into two triangles, and since we know that the angles of every triangle add to 180 degrees, then twice 180 is 360.
Yes. Two angles are suplementary if their sum is 180 degrees. All interior angles in a rectangle are 90 degrees, so any pair of these angles is supplementary.
If one angle of a parallelogram measures 40 degrees and another angel measures 140 degrees what are the measures of the other two angles?
The other two angles are also 40 degrees and 140 degrees.
They are both 4 sided quadrilaterals They both have 4 interior angles that add up to 360 degrees They both have 4 exterior angles that add up to 360 degrees They both have 2 diagonals They both will tessellate They both are made from two triangles
A parallelogram is a 4 sided quadrilateral that has two pairs of opposite parallel sides and two equal opposite acute angles and two equal opposite obtuse angles whereas the 4 angles add up to 360 degrees.
They add up to 180 degrees.
A parallelogram is a four-sided figure with two sets of parallel sides that do not meet at right angles. In a square, the sides meet at right angles. A square has internal angles of 90 degrees.
Yes. In fact, there has to be at least two. Acute angles are angles less than 90 degrees.
If the two lines that are being transversed are parallel, then the consecutive interior angles are equal to 180 degrees.
Two consecutive angles of a parallelogram always add up to 180 degrees. So, if the figure actually IS a parallelogram, and if it has a 54-degree angle, then it has two of them, and the other two are 124 degrees each.
Two of the angles of a parallelogram each measure 40 degrees what are the measures of the other two angles?
All angles of a parallelogram add up to 360 and opposite angles are always equal. Therefore 360 - 80 = 280 The other angles = 140 each Test 40 + 40 + 140 + 140 = 360
If there were less than two acute angles, there would be two (or more angles that were 90 degrees or more. Then the sum of the three angles of the triangle would be more than 180 degrees. But this is not possible because the interior angles of a triangle sum to 180 degrees.
Is it true that measures of two adjacent interior angles sum to 180 because they form a linear pair?
only in a parallelogram
What can you say about the shape area and perimeter of two parallelogram that have the same base and height?
That they could be congruent if they have the same interior angles
Yes because it has 1 right angle and 2 acute angles that add up to 90 degrees The 3 interior angles of any triangle add up to 180 degrees