Question

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Answer 1

Parallelogram adjacent angles are supplementary
Angle P + angle Q = 180
x - 5 + 2x + 15 = 180
3x + 10 = 180
3x = 170
x = 170/3


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Answer 2

$\huge \sf \color{blue}\underline{\underline{Answer }}:$
$\\ \large \bf \tt \frac{170}{3}= 56.6°$

$\\ \huge \sf \color{blue}\underline{\underline{Solution }}:$
$\large \tt \color{red}{Given \: :}$
$\sf \angle P =(x-5)° \: \: And \: \: \angleQ=(2x+15)°$
$\large \tt \color{red}{To \ Find \: :}$
The value of x
$\large \sf \color{green}{we \: know \: that \: , } \\ \\ \sf \underline{\bf The \: angles \: on \: the \: same \: side \: of \: the}\\ \underline{ \bf \: transversal \: are \: supplementary \: } \\ \underline{\bf that \: means \: they \: add \: up \: to \: 180° }$
So,
$\angle$P + $\angle$Q = 180°
$\implies$(x-5) + (2x+15)= 180°
$\implies$ 3x+10=180°
$\implies$ 3x=170
$\implies \sf x = \frac{170}{3} \\ \sf \boxed{\sf x = 56.667}$