Suppose an inscribed angle has a measure of 68°. What is the measure of the arc it intercepts?
Hint
Take a look at the Inscribed Angle Theorem.
Answer
136°
An inscribed angle has a measure of 160°. What is the measure of the arc it intercepts?
What does the Inscribed Angle Theorem say?
320°
An inscribed angle has a measure of 13°. What is the measure of the arc it intercepts?
Seriously, it's all about the Inscribed Angle Theorem.
26°
An inscribed angle intercepts an arc of 124°. What is the measure of the inscribed angle?
This time, we know the measure of the arc, but not the inscribed angle.
62°
An inscribed angle intercepts an arc of 180°. What is the measure of the inscribed angle?
We're trying to find out the measure of the inscribed angle, not the arc.
90°
An inscribed angle intercepts an arc of 95°. What is the measure of the inscribed angle?
You've probably memorized the Inscribed Angle Theorem by now.
47.5°
In the figure below, points A, B, C, and D are on the circle. If m∠ADC = 90° and mAB = 84°, what is m∠CDB?
You'll need arc addition and the Inscribed Angle Theorem.
48°
In the figure below, points A, B, C, and D are on ⊙O and m∠ABC = 150°. What is m∠AOC?
Notice that ∠ABC is an inscribed angle that intercepts arc ADC.
60°
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