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Please answer this math geometry question!

Please answer this math geometry question!-example-1

1 Answer

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m∠Q + m∠S = 180 ⇒ 68 + m∠S = 180

m∠S = 112

m∠R + m∠T = 180 ⇒ (3x + 40) + (5x - 52) = 180

8x - 12 = 180

8x = 192

x = 24

m∠R = 3(24) + 40 = 112

m∠T = 5(24) - 52 = 68

∠R = 112, ∠S = 112, ∠T = 68

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