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6 February, 03:02

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

x=

+1
Answers (1)
  1. 6 February, 03:29
    0
    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
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