Answer:
m∠1 = 130°
m∠2 = 158°
Step-by-step explanation:
For the given figure, we have;
The measure of angle m∠1 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;
m∠1 = 99° + 31° = 130°
m∠1 = 130°
Similarly, the measure of angle m∠2 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;
m∠2 = 28° + m∠1 = 28° + 130° = 158°
m∠2 = 158°.