# Please tell me how to find x!?

## I know how to find $\angle Q P R$ ..... WHEN I know what $x$ is. Please tell me how to find $x$. I don't need $\angle Q P R$; I just need $x$.

Jan 16, 2018

I think there is a problem in what was asked; I do not think that you are intended to be able to determine $x$.

#### Explanation:

Here is what I think the question was intended to be:
QUESTION:
Given
$\textcolor{w h i t e}{\text{XXX}} m \angle R P S = 8 x + 7$
and
$\textcolor{w h i t e}{\text{XXX}} m \angle Q P R = 9 x + 16$
Find $\angle Q P \textcolor{red}{S}$
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SOLUTION:
$\angle Q P S$
$\textcolor{w h i t e}{\text{XXX")=color(white)("xxxx")8x+color(white)("x}} 7$
color(white)("XXxxxX")ul(+color(white)("x")color(white)("x")9x+16)
$\textcolor{w h i t e}{\text{XXX")=color(white)("xxx}} 17 x + 23$

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There is no way with the given information for you to find the value of $x$, so you can not improve upon what you are directly given for $m \angle Q P R$ (namely $= 9 x + 16$)