### What does it mean for a side or angle to be included?

The 'included side' is the side between the two given angles. The 'included angle' is the angle between the two given sides.

### What is the difference between angle side angle and side angle side?

The first is two angles and the included side whereas the second is two sides and the included angle!

### What is the side included between the angles M and N of triangle MNP?

The side is MN although it may be denoted by p (lower case).

### What is Angle Side Angle?

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

### What are the quadrant angles?

Quadrant angles are the angle lies in different quadrants. The angles which lie between 0° and 90° are said to lie in the first quadrant. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant Quadrant angles are the angle lies in different quadrants. The angles which lie between 0° and 90° are… Read More

### What states that if two angles and a nonincluded side of one triangle is congruent to two angles and a nonincluded side of another triangle?

First of all, there is no statement in your question. I was expecting another clause, but it seems to have fallen off along the way. Next: The information you describe has no value in geometry. In order to establish congruence between the two triangles, the side must be the one that's included between the two angles.

### What is asa postulate?

The Angle Side Angle postulate( ASA) states that if two angles and the included angle of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.

### Must all quadrilaterals be 360 degrees?

Presumably you mean the sum of the included angles? If so, yes - they can all be cut into 2 triangles and the included angles of any triangle always add up to 180

### What is the third side of a triangle and its other angles that has two sides of 7.59 cm and 5.67 cm with an included angle of 72.23 degrees between them?

Let the angles be A B C and their opposite sides be a b c and by using trigonometry in the form of the cosine rule the 3rd side works out as 7.97 cm and the other angles are 42.65 degrees and 65.12 degrees.

### Are 2 pair of parallel sides and opposite angle are congruent?

The angles between the sides that are parallel are congruent.

### Does side-angle-side guarantee congruency between two triangles?

Yes, providing the angle is the one included between those two sides. The conditions for congruency are: SAS (2 sides and the included angle) AAS (2 angles and a corresponding side) RHS (right angle hypotenuse and another side) SSS (3 sides).

### What is the Angle-side-angle congruence postulate?

First of all, it's a theorem, not a postulate. It says: Two triangles are congruent if they have two angles and the included side of one equal respectively to two angles and the included side of the other.

### What is the difference between vertical angles and congruent angles?

not all congruent angles are vertical angles. Vertical angles must share a vertex.

### What is the definition for angle side angle?

In the context of congruent triangle theorems, it means that a pair of angles in corresponding locations in two triangles, and the sides that are included between them, are congruent. That being the case, the two triangles are congruent.

### What are the angles in a geometric shape?

Geometric shapes have angles of all sizes between 0 and 360 degrees. Geometric shapes have angles of all sizes between 0 and 360 degrees. Geometric shapes have angles of all sizes between 0 and 360 degrees. Geometric shapes have angles of all sizes between 0 and 360 degrees.

### Why is it impossible for a triangle to contain an 180 degree angle?

The sum of the three included angles of a triangle always = 180 degrees. So if one angle = 180 degrees (a straight line) then the other two included angles will be = 0 degrees which cannot make a triangle.

### What is they angle side angle theorem?

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, then the two triangles are congruent.

### The difference between complementary and supplementary angles?

Supplementary angles has the sum of the two angles that equal 180 degrees, while complementary angles have the sum of 90 degrees between two angles. Complementary angles sum to 90º, like 30º + 60º. Supplementary angles sum to 180º, like 45º and 135º. SUPPLEMENTARY ANGLES = the sum of the two angles are 180 WHILE COMPLEMENTARY ANGLES= the sum of the two angles are 90

### What has 4 sides and 4 angles?

Quadrilaterals in general have four sides and four angles. Rhombuses, trapezoids, parallelograms, squares, rectangles, and other similar shapes are included among these.

### An angle with a measure greater than 90?

Angles that measure between 90 and 180 are called obtuse angles. Those below 90 are called acute angles, and those between 180 and 360 are called reflex angles.

### What information do you need in orger to determine that two triangles are congruent?

You need any one of the following situations: -- Two sides and the included angle of one triangle are equal respectively to two sides and the included angle of the other one. -- Two angles and the included side of one triangle are equal respectively to two angles and the included side of the other one. -- The three sides of one triangle are equal respectively to the three sides of the other one.

### Explain the difference between the following pairs of complementary angles and supplementary angles?

Complementary angles sum to 90o Supplementary angles sum to 180o

### What shape has an acute angle and three right angles?

No plane geometric figure can have one acute and three right angle only, at least two other angles must be included

### What is the difference between opposite angles and vertical angles?

Nothing they are the same thing

### How many right angles does a nonagon have?

A convex nonagon can have between zero (0) and three (3) right angles. A general nonagon can have between zero (0) and six (6) right angles.

### What is the difference between a vertical angle and an opposite angle?

Opposite angles are the angles opposite each other on an x but vertical angles are the angles that are opposite and congruent.

### What angles are used to relate the values returned by inverse trigonometric functions to angles larger than 90 degrees?

For angles between 90 and 180 use the angle (180 - X) For angles between 180 and 270 use (X - 180) For angles between 270 and 360 use (360 - X) For angles greater than 360 subtract 360 until the angle is between 0 and 360 degrees and one of the above rules can be applied. You need to be careful with the signs of the ratios.

### What is the difference between a trapazoid and a rectangle?

All four angles of a rectangle are right angles. A trapezoid can have at most two right angles.

### What is the difference between suppllementary and complimentary angles?

Complementary angles total 90 degrees. Supplementary angles total 180 degrees.

### What are the angles in trigonometry?

Angles in trigonometry are the same as any other angles. They are a measure of the separation between two lines which meet at a point.

### How do you find the perpendicular distance in a triangle?

The answer will depend on what information you do have. If you know two sides and the included angle you can find the area. Then perpendicular distance = 2*Area/Base. If you know all three sides then you can use the cosine rule to find one of the angles. Then, you have two sides and the included angle and can proceed as above. Actually, you can find the area directly from the three sides. If you… Read More

### How do you tell if triangles are congruent or not?

If they have the same sides and same angles then they are congruent. Two triangles are called congruent if they have exactly the same size and shape. This can be determined by measuring all three sides of both triangles and measuring all three angles of both triangles. The rules of geometry also tell us that we don't have to do all these measurement. Triangles have certain properties that simplify the matter. As an example, the… Read More

### What is the difference between angles of trigonometry and angles of geometry?

In geometry, angles are studied mostly in relation to each other. In Trigonometry, angles are studied in relation to side lengths and triangles.

### What are angles whose measurement is in between 180 degrees and 360 degrees called?

The angles are called obtuse. Another Answer: Angles from 180 degrees to 360 degrees are reflex angles

### What shape has four sides and four angles?

triangle in 3d Quadrilaterals in general have four sides and four angles. Rhombuses, trapezoids, parallelograms, squares, rectangles, and other similar shapes are included among these.

### What are the vertex angles of a kite?

The top and bottom angles - the angles that are between the pairs of congruent sides. They are opposite each other and not necessarily congruent.

### What is the relationship between an interior and exterior angles?

The relationship is that they are supplementary angles because angles on a straight line add up to 180 degrees

### How many miles are between St. Louis and Los Angles?

There are about 1829 miles between St Louis, MO and Los Angles, CA.

### What is an angle measuring between 91 degrees and 179 degrees?

It is an "obtuse angle." Angles that are less than 90 degrees are "acute angles." Angles that are exactly 180 degrees are "straight angles." Angles that are exactly 90 degrees are "right angles."

### What does a triangle need to have to be congruent?

A single triangle is never congruent. "Congruent" only arises out of a comparison with something else. In order to be congruent to another triangle, a triangle needs one of the following: -- two of its sides and the included angle equal respectively to two sides and the included angle of the other one; -- two of its angles and the included side equal respectively to two angles and the included side of the other one… Read More

### What are the interior angles of a polygon?

They are angles between adjacent sides of the polygon, measured on the inside of the shape.

### What is the difference between congruent angles and congruent segments?

The first refers to angles and the second to segments.