Question

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

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Answer 1

$\angle z={40}^{\circ }$, because vertically opposite angles.
$\left[1\right]$
$\angle y+\angle z={180}^{\circ }...[\because \text{linear pair]}\Rightarrow \angle y+{40}^{\circ }={180}^{\circ }\Rightarrow \angle y={180}^{\circ }-{40}^{\circ }\Rightarrow \angle y={140}^{\circ }Then,{40}^{\circ }+\angle x+{25}^{\circ }={180}^{\circ }\angle x={180}^{\circ }-{65}^{\circ }\therefore \angle x={115}^{\circ }$
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