Question : In a triangle ABC, two angles A and B are equal. If the exterior angle is at $\angle A = 115°$, find the measure of $\angle C$.
Option 1: $50^{\circ}$
Option 2: $130^{\circ}$
Option 3: $115^{\circ}$
Option 4: $65^{\circ}$
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Correct Answer: $50^{\circ}$
Solution :
$\angle A = 180° - 115° = 65°$
$\angle B = \angle A = 65°$
The sum of angles of the triangle = 180°
$\angle C = 180° - \angle A - \angle B$
$⇒\angle C = 180° - 65°- 65°$
$\therefore\angle C = 50°$
Hence, the correct answer is $50°$.
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