Proof: Angle Bisector Divides the Angle Equally

Q. The angle formed by bisecting a ${30}^{\circ }$ angle is ___

1. ${60}^{\circ }$
2. ${90}^{\circ }$
3. ${15}^{\circ }$
4. ${22}^{\circ }$

Q.

If BD is the angle bisector of ∠ABC, and ∠ABD = 25°, then what is the measure of ∠ABC ?

1. 25°

2. 60°

3. 50°

4. 90°

Q.

Which one of the following statements is not false?

1. If two angles forming a linear pair, then each of these angle is of measure $90°$.

2. Angles forming a linear pair can both be acute angles.

3. One of the angles forming a linear pair will be the obtuse angles.

4. Bisectors of the adjacent angles forming a linear pair form a right angle.

Q.

In the figure, $\angle ABD=\angle DBC$. Then, ray BD is called the ___ .

1. median
2. none of these
3. Perpendicular bisector

4. Angle bisector

Q. Find the value of $x$, if OM is the angle bisector.

1. ${15}^{\circ }$
2. ${50}^{\circ }$
3. ${60}^{\circ }$

Q.

If BD is the angle bisector of ∠ABC, and ∠ABD = 25°, then what is the measure of ∠ABC ?

1. 50°

2. 25°

3. 60°

4. 90°

Q.

If BD is the angle bisector of ∠ABC, and ∠ABD = 25°, then what is the measure of ∠ABC ?

1. 50°

2. 25°

3. 60°

4. 90°

Q. Angle bisector divides an angle into two equal parts

1. True
2. False

Q. When we bisect an angle of ${45}^{\circ }$ , we get two angles. ​​​​​

1. ${30}^{\circ }$
2. ${22.5}^{\circ }$
3. ${23.5}^{\circ }$
4. ${15}^{\circ }$

Q. We can't divide ${45}^{\circ }$ by using angle bisector.

1. False
2. True

Q.

The angle between the bisectors of two adjacent supplementary angles is a right angle.

1. Acute angle

2. Right angle

Q. When we bisect an angle of ${90}^{\circ }$, we get two angles.

1. $45°$
2. $30°$
3. $60°$
4. $90°$

Q. Angle bisector of a ${60}^{\circ }$ angle divides it into two ${30}^{\circ }$ angles.

1. True
2. False