Question

Find the value of each variable in the parallelogram. Please help!

Answer 1

We know that:

• In a parallelogram, opposite angles are equivalent

This means that:

• 70 = 2m

Divide 2 both sides to find m:

• 70 = 2m
• 70/2 = 2m/2
• m = 70/2 = 35°

We can see that two angles measuring 70° and n° are a linear pair.

• n + 70 = 180
• n = 180 - 70 = 110°

Answer 2

m = 35 , n = 110

Explanation:

the opposite angles of a parallelogram are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

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

n + 70 = 180 ( subtract 70 from both sides )

n = 110