Question

ABCD is a parallelogram in which ∠A= (3x - 4)° and ∠B= (3x + 10)°. Find the measure of ∠A.​

Answer 1

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Answer 2

Answer:

∠A + ∠B = 180° (Adjacent angles of parallelogram are supplementary)

(3x - 4)° + (3x + 10)° = 180°

3x - 4 + 3x + 10 = 180°

6x + 6 = 180°

6x = 180 - 6

6x = 174

x = $\frac{174}{6}$

x = 29°

∠A = 3 × 29 - 4 = 83°