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What is the measure of angle QRS in this figure
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What is the measure of angle QRS in this figure

What is the measure of angle QRS in this figure-example-1
User Thibaut Colar
by
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1 Answer

2 votes

Answer:

C. 132°

Explanation:

Based on exterior angle theorem,

(20x + 12) = (9x) + (13x)

Solve for x

20x + 12 = 9x + 13x

20x + 12 = 22x

Subtract 20x from each side

12 = 22x - 20x

12 = 2x

Divide both sides by 2

12/2 = x

x = 6

m<QRS = 20x + 12

Plug in the value of x

m<QRS = 20(6) + 12 = 120 + 12

m<QRS = 132°

User Spurra
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