Inscribed Angles Answers

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⇒ 81

Answer:

115640

3

angle formed by a tangent and a chord thm. inscribed angle thm. second corollary to the inscribed angle thm.✔ substitution property

A
angle formed by a tangent and a chord thm.
B
inscribed angle thm.
C
second corollary to the inscribed angle thm.
D
✔ substitution property
115639

⇒ 168

Answer:

115639

115657

Given: ∠KJL and ∠KML intercept arc KL.

Answers:
♦ =:inscribed angle thm.
♠ =:substitution property
115659

Given: ∠KJL and ∠KML intercept arc KL.

Answers:
♦ =:inscribed angle thm.
♠ =:substitution property
115660

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.

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.

115662

What is the measure of ?

Question illustration
A
44°
B
50°
C
64°
D
92°
115663

angle formed by a tangent and a chord thm.✔ inscribed angle thm. second corollary to the inscribed angle thm. substitution property

A
angle formed by a tangent and a chord thm.
B
✔ inscribed angle thm.
C
second corollary to the inscribed angle thm.
D
substitution property
115664

What did you include in your response? Check all that apply.

A
A circle measures 360°.
B
A semicircle measures 180°.
C
Half of 180° is 90°.
D
A right angle measures 90°.

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