Question

An exterior angle of a triangle is 108° and its interior opposite angles are in the ratio 4:5. The angles of the triangle are

Answer 1

Answer:

The angles of the triangle are 72°, 90°and 18°

Answer 2

Answer:

exterior angle is 108

let the interior Angles are 4x and 5x

so, 4x + 5x = 108 (exterior property)

9x = 108

x = 108/9

x = 12

4x = 4 x 12 = 48

5x = 5 x 12 = 60

48 + 60 + x = 180 ( sum of all angles of triangle)

108 + x = 180

x = 180 - 108

x = 72

hope it helps you

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