The interior and its adjacent exterior angle of a triangle are in the ratio 2 : 3, What is the sum of the other two angles of the triangle?
Explanation:
Let the interior angle be 2x and exterior angle be 3x.
The interior and the corresponding exterior angle of a triangle are supplementary.
⇒ 2x + 3x = 180° ⇒ x = 36°
Now, exterior angle is same as the sum of two opposite interior angles.
∴ Sum of the other 2 interior angles of the triangle = 3 × 36° = 108°
Hence, option (a).
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