Question

First solve for x, then find ∡RQW. ∡WQP=139+x, ∡RQW=31+x & ∡RQP=152°

Answer 1

Answer:

$x = -9$

$RQW = 22$

Step-by-step explanation:

Given

$WQP = 139 + x$

$RQW = 31 + x$

$RQP = 152$

Required

Determine x and WQP

From the attachment;

$RQP = RQW + WQP$

Substitute 152 for RQP, 31 + x for RQW, 139 + x for WQP

$152 = 31 + x + 139 + x$

Collect Like Terms

$152 - 31 - 139 = x + x$

$-18 = 2x$

Divide both sides by 2

$\frac{-18}{2} = x$

$x = -9$

To solve for RQW; substitute -9 for x in RQW = 31 + x

$RQW = 31 + (-9)$

$RQW = 31 -9$

$RQW = 22$