Question

an exterior angle of a triangle is 105 degree and two of its opposite interior angles are equal find each of these equal angles

Answer 1

Let the exterior angle be y
And each opposite interior angle be x
A/q,y=2x
2x=105
x=105/2=52.5°

Answer 2

The angle at which the ex. angle is formed will be 75degree(180-105). So the other angle opposite to it will also be 75. So i can say that by angle sum property i can say that the other angle will be 180-75+75) which will be 30 degree.

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