Question

In parallelogram ABCD, m∠A = 2x - 8 and m∠B = 3x − 7. What is the value of x?

x=

Answer 1

x = 39

Explanation:

Using the property of parallelograms

• Consecutive angles are supplementary

∠A and ∠B are consecutive angles, thus sum to 180, that is

2x - 8 +3x - 7 = 180

5x - 15 = 180 ( add 15 to both sides )

5x = 195 ( divide both sides by 5 )

x = 39