Inscribed Angles

Question 1

⇒ 81

Revolt · Accepted Answer

115640

Question 2

The measure of arc QS is (4x – 18)°.What is the value of x?

Revolt · Accepted Answer

B: 49.5

Question 3

∠FAE measures 72°. What other angle must measure 72°?

Revolt · Accepted Answer

D: ∠FBE

Question 4

Given: ∠KJL and ∠KML intercept arc KL.

Revolt · Accepted Answer

♦ =: inscribed angle thm.; ♠ =: substitution property

Question 5

The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D?

Revolt · Accepted Answer

C: ✔  110

Question 6

Given: ∠KJL and ∠KML intercept arc KL.

Revolt · Accepted Answer

♦ =: inscribed angle thm.; ♠ =: substitution property

Question 7

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.

Revolt · Accepted Answer

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.

Question 8

and are diameters of circle T. What is the measure of ?

Revolt · Accepted Answer

C: 100°

Question 9

What is the measure of ?

Revolt · Accepted Answer

B: 50°

Question 10

35 38✔ 7076

Revolt · Accepted Answer

C: ✔ 70

Inscribed Angles Answers

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