Question

In a triangle, one angle is 80° and the other two angles are such that one is lesser in measure than the other by 20° . What are the measures of these angles?

Answer 1

Let the first angle be a

Second angle = a + 20

By angle sum property of triangle,

a + a + 20 + 80 = 180

=> 2a + 100 = 180

=> 2a = 80

=> a = 40

First angle = 40°

Second angle = 60°

Answer 2

80 +x+(x+20)=180°
180-80-20=2×
80=2x
x
$x = 40$
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