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25 votes
25 votes
NEED HELP WITH THIS MATH PROBLEM!!

NEED HELP WITH THIS MATH PROBLEM!!-example-1
User Phake
by
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1 Answer

7 votes
7 votes

Answer:

278°

Explanation:

You want the measure of arc RSQ given inscribed angle RSQ has a measure of 41°.

Inscribed angle

An inscribed angle has half the measure of the arc it subtends. This means short arc RQ will have double the measure of angle RSQ:

arc RQ = 2 × 41° = 82°

Long arc

The measure of long arc RSQ will complete the 360° circle:

arc RSQ = 360° -arc RQ

arc RSQ = 360° -82°

arc RSQ = 278°

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User Marek Roj
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