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If m∠NQM=2x+8 and m∠PQR=x+22, find the value of x

If m∠NQM=2x+8 and m∠PQR=x+22, find the value of x-example-1

2 Answers

4 votes

Answer:

14

Explanation:

2x+8=x+22

2x - x= 22 - 8

x=14

5 votes

Answer:

x = 14

Explanation:

∠ NQM and ∠ PQR are congruent ( indicated by the same orange arc within the 2 angles ) , then

2x + 8 = x + 22 ( subtract x from both sides )

x + 8 = 22 ( subtract 8 from both sides )

x = 14

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