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

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Andonaeus asked Jun 28, 2023

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

Mathematics
high-school

Andonaeus asked Jun 28, 2023

by Andonaeus

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13 votes

Answer:

Explanation:

2x+8=x+22

2x - x= 22 - 8

x=14

Navin Manaswi answered Jun 30, 2023

by Navin Manaswi

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13 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

Andrew Wei answered Jul 2, 2023

by Andrew Wei

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