Question

This figure shows circle O with diameter QS .

mRSQ=310°

What is the measure of ∠ROQ ?

Enter your answer in the box.

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Answer 1

∠ROQ = 50°

Explanation:

In this question given parameters are QS is the diameter with O as a center of the circle.

m∠RSQ = 310°

and we have to find the measurement of ∠ROQ.

Since ∠RSQ + ∠ROQ = 360°

Therefore ∠RSQ = 360 - ∠ROQ

∠RSQ = 360 - 310 = 50°

So the answer is ∠RSQ = 50°

Answer 2

To solve this problem you must apply the proccedure shown below:

1. The problem gives you the following information:

- The circle O has a diameter QS.
- The measure of RSQ is 310 degrees (m∠RSQ=310°).

2. Then, you have that the measure of ∠ROQ is:

∠ROQ=360°-m∠RSQ
∠ROQ=360°-310°
∠ROQ=50°

3. Therefore, as you can see, the answer is: ∠ROQ=50°