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

x=

x = 39

Step-by-step 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