Question

In the shown figure lines $L_1$, $L_2$, and $L_3$ are shown.
Choose the correct alternative :

• A. Lines $L_1$ and $L_2$ are perpendicular to each other.
• B. Lines $L_2$ and $L_3$ are perpendicular to each other.
• C. Lines $L_1$ and $L_3$ are perpendicular to each other.
• D. None of the lines are perpendicular to each other.

Answer 1

Answer: (C)

Lines $L_1$ and $L_3$ are perpendicular to each other.

$\angle P+\angle Q+\angle R={180}^{\circ }$ (Triangle property)

$\angle P+{55}^{\circ }+{35}^{\circ }={180}^{\circ }$

So, $\angle P={90}^{\circ }$.

Thus, angle formed between lines $L_1$ and $L_3$ is ${90}^{\circ }$

Hence, lines $L_1$ and $L_3$ are perpendicular.

We select Option $C$.