Question

In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.

what is the measure of angle 7?

56 degrees
84 degrees
96 degrees
124 degrees

Answer 1

56

Explanation:

Answer 2

m∠8 + m∠7 = 180°

therefore

m∠7 = 180° - m∠8

m∠8 = 124°

substitute:

m∠7 = 180° - 124° = 56°

Answer: 56 degrees