Question

1. an exterior angle of a triangle is 124°. if the non - adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle? 124°, 28°, 28° 34°, 73°, 73° 90°, 45°, 45° 56°, 62°, 62°

Explanation:

Step1: Find adjacent interior angle

The exterior angle and adjacent interior angle are supplementary: $180^\circ - 124^\circ = 56^\circ$.

Step2: Find non-adjacent angles

The exterior angle equals the sum of non-adjacent angles. Let each non-adjacent angle be $x$: $2x = 124^\circ \implies x = 62^\circ$.

Answer:

D. 56°, 62°, 62°