Question

How do you solve this equation (in the picture)? Helping a friends son with his math homework. It has been 20 years since I've done this...and did it poorly back then. ​

Answer 1

m∠ACB=64°

Explanation:

we know that

Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. If the lines are parallel, that the alternate interior angles are equal.

In this problem, the transversal is the segment BC and the lines are line m and segment AC

The lines are parallel

so

m∠ACB=m∠2-----> by alternate interior angles

we have

m∠2=64°

therefore

m∠ACB=64°