An exterior angle of a triangle is 124. And opposite interior angle is 72. Find all the angles of the triangle

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°.