Answer:
m∠5 = 104 degrees; m∠8 = 76 degrees
Step-by-step explanation:
m∠2 is given: 76 degrees. m∠2 and m∠8 are alternate interior angles, so this means that they must be equal to each other by the alternate interior angles theorem.
m∠8 = 76 degrees
m∠8 and m∠5 form a straight line, so this means that they must add up to 180 degrees. We know m∠8, so to find m∠5 subtract m∠8 (76 degrees) from 180 degrees.
180 - 76 = 104
m∠5 = 104 degrees
