Question

Find the value of each variable in the parallelogram.
72°
2mᵒ n°

Answer 1

m = 36 , n = 108

Explanation:

• opposite angles in a parallelogram are congruent

2m = 72 ( divide both sides by 2 )

m = 36

• consecutive angles are supplementary, that is sum to 180°

n and 72 are consecutive angles, then

n + 72 = 180 ( subtract 72 from both sides )

n = 108