The triangle contains a 90 degree angle, making it a right-angled triangle.
It will be a right angled triangle with angles of 90, 72 and 18 degrees.
The third angle is 95 degrees because 180-18-67 = 95
If the angles are 3x and 7x their sum, 10x is 180 degrees. So x = 18 and so the angles are 18*3 = 54 degrees and 18*7 = 126 degrees.
(18-2)*180 = 2880 degrees
(18-2)*180 = 2880 degrees
Obtuse scalene triangle ,these three angles greater than 90 degrees but less than 18 degrees
It will be a right angled triangle with angles of 90, 72 and 18 degrees.
Using the cosine rule in trigonometry the opposite angles to the given dimensions are 17.9 degrees, 120 degrees and 42.1 degrees respectively.
The third angle is 95 degrees because 180-18-67 = 95
1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons
A twenty-sided polygon is called an "icosagon." If it is a regular icosagon - all its sides and angles are equal - then it's interior angles are all 162 degrees. You can verify this by drawing a line to the center from each angle.. There will be 20 small angles arranged in a circle around the center. These must total 360 degrees. As 360 / 20 = 18, this leaves the other angles of each triangle to add up to 162, because the interior angles of a triangle total 180 degrees.
If the angles are 3x and 7x their sum, 10x is 180 degrees. So x = 18 and so the angles are 18*3 = 54 degrees and 18*7 = 126 degrees.
A twenty-sided polygon is called an "icosagon" If it is a regular icosagon - all its sides and angles are equal - then it's interior angles are all 162 degrees. You can verify this by drawing a line to the centre from each angle.. There will be 20 small angles arranged in a circle around the centre. These must total 360 degrees. As 360 / 20 = 18, this leaves the other angles of each triangle to add up to 162, because the interior angles of a triangle total 180 degrees.
(18-2)*180 = 2880 degrees
if the angle of a triangle are in the ratio 7:11:18,find the angle
let the vertex angle be x degrees, then the base angle is x + 9 degrees. Since in a triangle the sum of the angle is 180 degrees, and the base angles in an isosceles triangle are congruent, we have: x + 2(x + 9) = 180 x + 2x + 18 = 180 3x + 18 = 180 subtract 18 to both sides 3x = 162 divide by 3 to both sides x = 54 Thus the vertex angle is 54 degrees.
18 Angles on a straight line = 180 degrees interior angles 2880 + exterior angles 360 = 3240 degrees 3240 divided by 180 = 18 sides Note that the exterior sum of angles of any polygon is always 360 degrees.