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What is the measure of RSQ?

What is the measure of RSQ?-example-1
What is the measure of RSQ?-example-1
What is the measure of RSQ?-example-2
User Massa
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2 Answers

6 votes

Answer:

Explanation:

User Nicecatch
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The measure of the arc RSQ in the circle with an inscribed angle of 24 degrees is 312 degrees.

The relationship between an inscribed angle and the intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

From the diagram;

Inscribed angle RSQ = 24 degrees

Intercepted arc RQ =?

First, we determine the intercepted arc RQ:

24 = 1/2 × arc RQ

arc RQ = 24 × 2

arc RQ = 48 degrees

Now, to determine the measure of arc RSQ, we subtract arc RQ from 360 degrees.

arc RSQ = 360 - arc RQ

arc RSQ = 360 - 48

arc RSQ = 312°

Therefore, arc RSQ in the circle has a measure of 312 degrees.

User Aligator
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