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Answer :

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°.