#052.1 - Inscribed Angles

• 84

• 42

• 22

• 168

Answer explanation

inscribed angle = 1/2 (intercepted arc)

Tags

CCSS.HSG.C.A.2

Find the measure of Arc LM first, then find m<N.

Hint: Arc NM and Arc LM make up a 1/2 the circle. Together, they will be ______ degrees. Use this to find Arc LM.

• 20

• 10

• 200

• 100

Answer explanation

Segment NL is a diameter, so arc NL is a semicircle. 360 - 180 - 160 will give you arc LM. Use this to find <N.

Tags

CCSS.HSG.C.B.5

• 247

• 113

• 134

• 133

Answer explanation

Intercepted arcs = 2 (inscribed angles)

Tags

CCSS.HSG.C.A.2

Reminder: you're finding Arc VU.... You need to find Arc TV FIRST, then Arc VU!

• 60

• 120

• 300

• 90

Answer explanation

<VU is not the intercepted arc. Segment TU creates a semi circle with the intercepted arc and <VU.

Tags

CCSS.HSG.C.A.2

Hint: Find Arc WY. Then, use what you know about the WHOLE circle to find Arc WX.

• 150

• 37.5

• 220

• 100

Answer explanation

Arc WX is part of a 360 degree circle. Find the intercepted arc. Subtract it and the other given arc from 360 to find the remaining arc.

Tags

CCSS.HSG.C.A.2

Name two pairs of congruent angles.

• <B and <C

• <B and <D

• <B and <A

• <A and <c

Answer explanation

congruent angles share the same intercepted arc.

Tags

CCSS.HSG.C.A.2

Name two congruent angles

• <X and <Z

• <X and <Y

• <W and <X

• < W and <Y

Answer explanation

Congruent angles share intercepted arcs.

Find the measure of the red angle.

(a)  

Answer explanation

It shares the same intercepted arc as <EGF, so they are congruent.

Tags

CCSS.HSG.C.A.2

(a)  

Answer explanation

intercepted arc = 2 (inscribed angle)

Tags

CCSS.HSG.C.A.2

Find the given angle.

Hint: Find Arc WY by first using what you know about the WHOLE circle.

• 59°

• 78°

• 43°

• 242°

Answer explanation

Find the measure of arc WX to find the given angle.

Tags

CCSS.HSG.C.A.2