QS bisects /PQT and QP and QR are opposite rays. If m/PQT 60 and m/PQS = 4x + 14, find the value of x

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Based on the angle bisector QS, the value of x is 4

<h3>How to determine the value of x?</h3>

The given parameters are:

QS bisects <PQT
QP and QR are opposite rays.
m<PQT = 60
<PQS = 4x + 14,

Because QS bisects <PQT, then

PQT = 2 * <PQS

This gives

4x + 14) * 2 = 60

Divide by 4

2x + 7 = 15

Subtract 7 from both sides

2x = 8

Divide by 2

x = 4

Hence, the value of x is 4

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Step-by-step explanation:

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