Question

If PQ bisects Angle RPS and measure of angle RPS = 120°, find p and measure of angle RPQ.

Answer 1

p = 6; RPQ = 60 degrees

Explanation:

Answer 2

p = 6; RPQ = 60 degrees

Explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!