Answer:
The measure of all the three angles of the triangle are;
56°, 72° and 52°
Step-by-step explanation:
The given parameters are;
The measure of the exterior angle of the triangle = 124°
The measure of one of the opposite interior angle = 72°
Therefore, we have;
The measure of the interior angle adjacent to the exterior triangle = 180° - 124° = 56° (Sum of angles on a straight line)
From the sum of the interior angles in a triangle = 180°, we have;
The measure of the third interior angle of the triangle = 180° - 56° - 72° = 52°
Therefore, the measure of all the three angles of the triangle are;
56°, 72° and 52°.
