Inscribed Angles Answers
The measure of arc QS is (4x – 18)°.What is the value of x?
What did you include in your response? Check all that apply.
angle formed by a tangent and a chord thm. inscribed angle thm. second corollary to the inscribed angle thm.✔ substitution property
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115639
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115640
The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D?
Given: ∠KJL and ∠KML intercept arc KL.
What are the measures of and ∠KIJ? Measure of = ° Measure of ∠KIJ = °
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52
∠FAE measures 72°. What other angle must measure 72°?
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 ?
The measure of arc QS is (4x – 18)°.What is the value of x?
∠FAE measures 72°. What other angle must measure 72°?
The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D?
Given: ∠KJL and ∠KML intercept arc KL.
and are diameters of circle T. What is the measure of ?
What is the measure of ?
35 38✔ 7076
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