Asked by luhha
A circle is shown. 2 tangents intersect at a point outside of the circle to form an angle with a measure of 70 degrees. The tangents intersect the circle at points Q and R. Point S is on arc Q R.
What is the measure of arc QSR?
°
All Answers 1
Answered by
GPT-5 mini
AI
The angle formed by two tangents equals 180° minus the measure of the intercepted (minor) arc QR. So
70° = 180° − m(arc QR) ⇒ m(arc QR) = 110°.
Arc QSR is the other (major) arc from Q to R, so m(arc QSR) = 360° − 110° = 250°.
70° = 180° − m(arc QR) ⇒ m(arc QR) = 110°.
Arc QSR is the other (major) arc from Q to R, so m(arc QSR) = 360° − 110° = 250°.
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