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In the circle, m SRP = 5x+6 and m PQS = 9x+2. What is the value of x?

In the circle, m SRP = 5x+6 and m PQS = 9x+2. What is the value of x?-example-1

1 Answer

3 votes

Answer:


x=1

Explanation:

we know that

The inscribed angle is half that of the arc it comprises

so

in this problem

m∠SRP=
(1)/(2) arc SP

m∠PQS=
(1)/(2) arc SP

therefore

m∠SRP=m∠PQS


5x+6=9x+2

solve for x


9x-5x=6-2


4x=4


x=1

User Matt Magpayo
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