Question

an exterior angle of triangle is 135° and the interior opposite angles are in the ratio 1:4.find the angles of the triangle​

Answer 1

Answer: 27, 108

Step-by-step explanation:

Suppose,

In triangle ABC,

the exterior angle is of angle C

then, exterior angle= angle A+ angle B

Therefore,

Angle A + Angle B =135°

x + 4x = 135°

5x = 135°

x = 135 ÷ 5

x = 27°

And 4x =108°