Question

In a parallelogram ABCD if angle A= (3x-5) and the angle B=(7x+25) then find the measure of angle C​

Answer 1

Answer:

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

3x-5 + 7x+25 = 180°

10x + 20 = 180°

10x = 180° - 20°

10x = 160°

x = $\frac{160}{10}$

x = 16

Measure of ∠A = 3 × 16 - 5 = 43°

∠A = ∠C = 43° (Opposite angles of a parallelogram are equal)

Answer 2

Step-by-step explanation:

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