Question

in a quadrilateral ABCD AB//DC if angle A:D=2:3 and B:C=7:8.find the measure of each angle

Answer 1

Let's consider the measure of each angle be x°

Then: A = 2x , B = 7x , C = 8x and D = 3x .

If , the sum of quadilateral is 360°.

So, 2x + 7x + 8x + 3x = 360°
20x = 360°
x = 360/20
x = 18°

Then, A = 2 ✖ 18
= 36°

B = 7 * 18
= 126°

C = 8 * 18
= 144°

D = 3 * 18
= 54°


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