Question

In the given figure, $p\parallel q$ and $r\parallel s$. Find the values of $x,y$ and $z$.

Answer 1

$11x+5+2z={180}^{\circ }$...(1)

${60}^{\circ }+{136}^{\circ }-8y={180}^{\circ }$...(2)

(1) and (2) both form straight lines

From (2)

$y=\frac{60+136-180}{8}\Rightarrow y=2^{\circ }$

$136-8y^{\circ }=2z$

vertically opposite angles are equal

$z=\frac{136-8\left(2\right)}{2}\Rightarrow z={60}^{\circ }$

From (1)

$x=\frac{180-5-2\left(60\right)}{11}\Rightarrow x=5$