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HELP!

What is the measure of arc QR?

26°
52°
104°
128°

HELP! What is the measure of arc QR? 26° 52° 104° 128°-example-1
User Phm
by
8.5k points

2 Answers

1 vote

Answer:

C (104)

Explanation:

User Somangshu Goswami
by
7.5k points
4 votes

1. A central angle is an angle with endpoints located on a circle's circumference and vertex located at the circle's center. A central angle in a circle determines an arc.

2. An inscribed angle is an angle formed by three points on the circle's circumference.

Angle at the Center Theorem: An inscribed angle is half of the central angle (if they determine the same arc).

In your case angles:

1. ∠QSR is insribed (determines the arc QR);

2. ∠QTR is central (determines the arc QR).

Then by Angle at the Center Theorem, m∠QTR=2m∠QSR=2·52°=104°. Arc QR has the same measure as central angle QSR.

Answer: correct choice is C.

User Alex Poca
by
7.0k points

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