Question

Find $x$ and $y$ in the following figure:

Answer 1

Step 1: Find $y$ from the given figure

By the vertically opposite angles property of triangles, $\angle y$ and $80°$are equal.

So, $\angle y=80°$.

Step 2: Find $x$ from the given figure

We know that $\angle y=80°$

In the give triangle, using angle sum property, we get,

$$\begin{gathered} \Rightarrow 50°+\angle y+\angle x=180° \\ \Rightarrow 50°+80°+\angle x=180° \\ \Rightarrow \angle x=180°-130° \\ \Rightarrow \angle x=50° \end{gathered}$$

So, $x$ is $50°$.

Therefore, $\angle x=50°$ and $\angle y=80°$.