Question

Find the measure of the indicated angles.
M

Answer 1

Answer:

m<B = 83°

Explanation:

The figure given is a parallelogram having opposite sides that area parallel to each other. Therefore, opposite angels are congruent while the adjacent angles are supplementary.

<A and <B are adjacent angles. Therefore,

m<A + m<B = 180°

97° + m<B = 180° (substitution)

m<B = 180° - 97

m<B = 83°