Question

What type of line is PQ?

A. side bisector
B. altitude
C. median
D. angle bisector

Answer 1

Answer:

D

Step-by-step explanation:

Since ∠ RPQ = ∠ SPQ = 60° , then

PQ bisects ∠ RPS and is an angle bisector

Answer 2

PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

What is angle bisector?

Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.

It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.

$m \angle R P Q=m \angle QP S=60^{\circ}$

Now, $&m \angle R P S=m \angle R P Q+m \angle Q P S$

$&m \angle R P S=60^{\circ}+60^{\circ}$

$&m \angle R P S=120^{\circ}$

Therefore, the measure of angle RPS is $60^{\circ}$.

Therefore, the correct answer is option D. angle bisector.

To learn more about angle bisector

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