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This is an explain your reasoning question. You will need to show all your work and explain how you arrived at your answer.

HELP FAST This is an explain your reasoning question You will need to show all your work and explain how you arrived at your answer class=

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semsee45

Answer:

m∠R = 72°

Step-by-step explanation:

As ΔPQR and ΔUVW are congruent, m∠R = m∠W.

Equate the expressions for the two angles and solve for x:

⇒ m∠R = m∠W

⇒ 10x - 18 = 8x

⇒ 10x - 18 + 18 = 8x + 18

⇒ 10x = 8x + 18

⇒ 10x - 8x = 8x + 18 - 8x

⇒ 2x = 18

⇒ 2x ÷ 2 = 18 ÷ 2

⇒ x = 9

Substitute the found value of x into the expression for m∠R:

⇒ m∠R = 10x - 18

⇒ m∠R = 10(9) - 18

⇒ m∠R = 90 - 18

⇒ m∠R = 72°

Therefore, m∠R = 72°.

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