Question

The angle between the internal and external bisectors of an angle is?

Answer 1

The Internal and external angle bisector of a given angle form a straight line. So the angle between them is 180°.

You can show it as follows:

Let the given internal angle is x

external angle = (360-x)

Angle between both bisectors is the sum of halves of both angles.

Half of x = x/2

half of (360-x) = (360-x)/2 = 180 - x/2

Angle between them= x/2 + 180 - x/2 = 180°

Answer 2

Answer:It'll be 90°

Step-by-step explanation:

First draw the internal angle bisector of any angle of the triangle

Then extend any side to the outside of the triangle which is a part of the angle

An angle is formed by the extended line and the adjacent side of the triangle which is called the external angle

Now draw the angle bisector of the external angle

So, you will observe that the angle formed by both the bisectors is 90°