Question

Please help me I'll give you the crown if its right

In the figure below, mROP = 125°.
Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer.

Answer 1

Explanation:

first we notice that the line RS makes a diagonal in the circle.Since we are given ROP we can find SOP by:

180⁰-125⁰=55⁰

since they are in each others opposite point they are equal so that means that if we try the equation we did before: SOQ =ROP and QOR=SOP

Answer 2

Explanation:

step 1. mPOS = 180 - 125 = 55°. (supplementary angles)

step 2. mQOS = 125° (vertical angles)

step 3. mQOR = 180 - 125 = 55° (supplementary angles).