Question

Find the value of $\angle 1$ and $\angle 2$ in the given figure.

• A. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
• B. $\angle 1={65}^{\circ }$ and $\angle 2={115}^{\circ }$
• C. $\angle 1={65}^{\circ }$ and $\angle 2={65}^{\circ }$
• D. $\angle 1={115}^{\circ }$ and $\angle 2={115}^{\circ }$

Answer 1

The correct option is D $\angle 1={115}^{\circ }$ and $\angle 2={115}^{\circ }$

The angle marked ${115}^{\circ }$ and $\angle 1$ are interior alternate angles and interior alternate angles are equal. Hence, $\angle 1={115}^{\circ }$.
Now, $\angle 1$ and $\angle 2$ are vertically opposite angles and vertically opposite angles are also equal. Hence, $\angle 2=\angle 1={115}^{\circ }$.