Question

what is the solution for the value of x

Answer 1

$\large \sf \star \: hi \: \: buddy : ) \\ \\ \large \sf \star \: here \: \: is \: \: your \: \: answer : )$

Given :

• LQX = 147°

Here,

• LQX + MQX = 180°

linear pair

• Angles along straight line = 180°

$\\ \large \tt \implies \: \angle mqx = 180 \degree - 147 \degree \\ \\ \large \tt \looparrowright \: \angle mqx = 33 \degree$

Take Vertically Opposite angle of x = y

$\\ \large \sf \mapsto \: \angle y = \angle QNX = 33 \degree$

(corresponding angles)

$\\ \large \sf \underline{ \boxed{ \sf \therefore \: x = 33 \degree}}$

Answer 2

The value of x=33°

It may be useful!