In the following figure, 2=58^ . Find 1 and 3. - Vidyadip

Question

In the following figure, $\angle 2=58^{\circ}$. Find $\angle 1$ and $\angle 3$.

✓

Answer

Given, $\angle 2=58^{\circ} \Rightarrow \angle 1=\angle 2=58^{\circ}\qquad$ [alternate angles]
Also, $\angle 1+\angle 3=180^{\circ}\qquad \text {[linear pair]}$
$
\begin{array}{rlrl}
\therefore 58^{\circ}+\angle 3=180^{\circ} \\
\Rightarrow \angle 3=180^{\circ}-58^{\circ} \\
\Rightarrow \angle 3=122^{\circ}
\end{array}
$
So, $ \angle 1=58^{\circ}$ and $\angle 3=122^{\circ}$

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