Geometry? Reasoning Process?

Question

A.

OQ is the bisector of POR, OR is the bisector of QOS
and POR = 40. Find
ROS

SO HERES WHAT I DID:

ROS = 1/2 times POR
ROS = 1/2 times 40/1
ROS = 40/2
ROS = 20

is that right?

anyway,

B.

Explain the reasoning process you used to find the
answer to part A (Above). Write complete sentences.

any Clue As to What I should Write?

Answer 1

B. so again
OR bisector of so so

Answer 2

A.Your answer is right.
B.From what is described , the problem can pertain only to anglular measures and not linear measures due to :
1) Data inadequacy , you only know POR and not QOS
2) ROS is not a straight line .

Therefore if you take O as origin and draw 4 lines OP, OQ,OR and OS clockwise in that order at 20 degrees angular spacing you can see that this construction satisfies the given 3 conditons.

Answer 3

Angle POR = 40 degrees [Given]
OQ bisects angle POR [Given]
Therefore angle QOR = 20 degrees [Definition of angle bisector]
OR bisects angle QOS [Given]
Therefore angle QOR = angle ROS [Definition of angle bisector]
Therefore angle ROS = 20 degrees [Substitution Axiom]

Q.E.D.