Question

If $L_1$ and $L_2$ be the angle bisectors of two lines, then the angle between $L_1$ and $L_2$ is${90}^{\circ }$ .

• A. True
• B. False

Answer 1

The correct option is A

True

If we draw an approximate figure, we can see that the angle between them is ${90}^{\circ }$.But we have to prove this.

For that , let the acute angle between two lines be $\theta$ . $L_1$ divides it into parts with $\frac{\theta }{2}and\frac{\theta }{2}$

$L_2$ divides the other angle 180 - $\theta$ into two equal parts $\frac{180-\theta }{2}$ and $\frac{180-\theta }{2}$