Inscribed Angles Answers
Given: ∠KJL and ∠KML intercept arc KL.
What did you include in your response? Check all that apply.
What are the measures of and ∠KIJ?
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52
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.
A circle measures 360°, so a semicircle (which is half the circle) measures 180°. According to the inscribed angle theorem, the measure of an inscribed angle is half the measure of its intercepted arc. Since an angle inscribed in a semicircle intercepts an arc of 180°, the measure of the inscribed angle is half of 180°, which is 90°. Therefore, the angle is a right angle.
and are diameters of circle T. What is the measure of ?
What is the measure of ?
What are the measures of and ∠KIJ?
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