Find the interior angles of a triangle if they are in the ratio:
a. 1: 1:2
b. 2:2:2
c. 2:3: 4
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Answer:
sum of angles of triangle = 180°
a) 1:1:2 = 180°
1x + 1x + 2x = 180
4x = 180°
x = 180°/4
x = 45°
1x = 45° X 1 = 45°
2x = 45° X 2 = 90°
so, the interior angles are 45°, 45°, 90°
b) 2:2:2 = 180°
2x + 2x + 2x = 180°
6x = 180°
x = 180°/6
x = 30°
2x = 30° X 2 = 60°
so, the interior angles are 60°,60°,60°
c) 2:3:4 = 180°
2x + 3x + 4x = 180°
9x = 180°
x = 180°/9
x = 20°
2x = 40°
3x = 60°
4x = 80°
hope it helps
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