Question

In the diagram below, the measure of angle PRQ is 120 degrees and the angle of PST is 110 degrees.

What is the degree measurement of angle RPS? (Do not use a protractor)

Answer 1

Since the sum of the angles in a triangle is 180 degrees, we can use this information to find the missing angle.

Angle RPS = 180 - (Angle PRQ + Angle PST)
Angle RPS = 180 - (120 + 110)
Angle RPS = 180 - 230
Angle RPS = 50 degrees

So, the degree measurement of angle RPS is 50 degrees.