Question

In the figure (i), $l\parallel m$ and $p\parallel q$. Find the value of $\angle x,\angle y,\angle w,\angle u\text{and}\angle z$.

Answer 1

Here,

$\angle x+{105}^o={180}^o$

$\angle x={75}^o$

Also, $\angle x=\angle y=\angle w=\angle u$

Therefore, $\angle y=\angle w=\angle u={75}^o$

Now, $\angle y+\angle z={180}^o$

${75}^o+\angle z={180}^o$

$\angle z={105}^o$