Question

ABCD is a cyclic quadrilateral. Find the measure of each of its angles?(hint angel A=4y angle B=2x angel C=2y and angel D=3x​

Answer 1

• Opposite angles of cyclic quadrilateral are supplementary

∠A + ∠C = 180°

4y + 2y = 180

6y = 180

y = 30°

∠B + ∠D = 180°

2x + 3x = 180°

5x = 180°

x = 36°

=> Measure of each angles

A = 4y = 4 × 30 = 120°

B = 2x = 2 × 36 = 72°

C = 2y = 2 × 30 = 60°

D = 3x = 3 × 36 = 108°

Answer 2

Answer:

see the attachment

Step-by-step explanation:

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