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If m<PQT=60 and m<PQS=4x+14 find the value if x
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If m<PQT=60 and m<PQS=4x+14 find the value if x

User Gabr
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1 Answer

7 votes

Diagram is attached below

m<PQT=60 and m<PQS=4x+14

m<PQS and m<SQT are same

m<PQT = m<PQS + m<SQT = m<PQS + m<PQS = 2m<PQS

m<PQT = 2m<PQS

So m<PQS =
(m<PQT)/(2)

Plug in the given information and solve for x

4x + 14 =
(60)/(2)

4x + 14 = 30 (subtract 14 on both sides)

4x = 16 (Divide by 4 on both sides)

x = 4

The value of x is 4

If m<PQT=60 and m<PQS=4x+14 find the value if x-example-1
User Igor Berman
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