Question

An exterior angle of a triangle is 105°and its two interior opposite angles are equal.find each of these equal angles

Answer 1

We know that, by exterior angle property, the exterior angle of any triangle is equal to the sum of its interior opposite angles.
Here, the two interior opposite angles are equal.
Hence,
Interior opposite angles = 105°÷2 = 52.5°

Answer 2

sum of exterior angles is equal to the sum of the opposite interior angles
let x be interior angles
105=x+x
105 =2x
x=105/2
x=52.5°