Question

Find the value of $x$ in each of the following figures if $l\parallel m$.

Answer 1

Compute the required value:

From the property of corresponding angles, $\angle y=110°$.

We know that Linear pair is the sum of adjacent angles is $180°$.

$$\begin{gathered} \Rightarrow \angle x+\angle y=180° \\ \Rightarrow \angle x+110°=180° \\ \Rightarrow \angle x=180°-110° \\ \Rightarrow \angle x=70° \end{gathered}$$

Hence, the value of $x$ is $70°$.