Question

11. In a cyclic quadrilateral STUV,angleS= (5x-12)° and angle U=(16x+3)°. Find measure of angle U.​

Answer 1

Answer:

Measure of ∠U = 147°

Step-by-step explanation:

In the cyclic quadrilateral sum of opposite angles is 180 degrees

So,

∠S+∠U=180

According to problem, we get equation

(5x-12)° + (16x+3)° = 180°

5x - 12 + 16x + 3 = 180°

21x - 9 = 180°

21x = 189°

x = 189/21

x = 9

Measure of ∠U = (16 × 9 + 3)°

                         = 147°

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