Question

In the given figure, find the values of x, y and z.

Answer 1

In the given question, the values of x, y, and z will be determined as follows:
z and $25°$ form a linear pair.
$$\begin{gathered} \mathrm{So},z+25°=180° \\ \Rightarrow z=180-25 \\ \Rightarrow z=155° \end{gathered}$$

Now, z and x are vertically opposite to each other. So, x = $155°$.

Also, y and x form a linear pair.
$$\begin{gathered} \mathrm{So},y+155°=180° \\ \Rightarrow y=180-155 \\ \Rightarrow y=25° \end{gathered}$$

Hence, the values are $x=155°,y=25°\mathrm{and}z=155°$.