Question

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

Answer 1

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 = $\frac{m$

Plug in the given information and solve for x

4x + 14 = $\frac{60}{2}$

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

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

x = 4

The value of x is 4