Question

In a triangle, an exterior angle formed by producing a side is half of a right angle. One of the two opposite interior angles is twice the Other; find the sizes of each interior angle of triangle.​

Answer 1

Explanation:

let's explain this a bit.

when the exterior angle is a certain size, then the interior angle is 180 - that exterior angle.

in our case the exterior angle is half of a right angle, so it is 90/2 = 45°.

the corresponding interior angle is 180-45 = 135°.

the sum of all angles inside a triangle is always 180°.

so,

x + 2x + 135 = 180

3x = 45

x = 15°

2x = 30°

so, the 3 interior angles are

135°, 15°, 30°