Angles in Circles and Circumscribed Angles

Which is a true statement about the angles in the circle?

• ∠1 = ∠2 and ∠3 = ∠4.

• ∠1 = ∠3 and ∠2 = ∠4.

• ∠1 = ∠4 and ∠2 = ∠3.

• None of the angles have the same measure.

Tags

CCSS.HSG.C.A.2

What is a circumscribed angle?

Line segments QP and QR are tangent to the circle. What is the measure of minor arc PR?

• 230 degrees

• 100 degrees

• 130 degrees

• 180 degrees

Tags

CCSS.HSG.C.A.2

Line segments LK and LM are tangent to the circle. What is the measure of angle KLM?

• 65 degrees

• 115 degrees

• 180 degrees

• 75 degrees

Tags

CCSS.HSG.C.A.2

Line segments UT and UV are tangent to the circle. What is the measure of angle TUV?

• 52 degrees

• 75 degrees

• 49 degrees

• 61 degrees

Tags

CCSS.HSG.C.A.2

Line segments CD and CB are tangent to the circle. Find x.

• x = 5

• x = 6

• x = 7

• x = 8

Tags

CCSS.HSG.C.A.2

Solve for y. (y is the measure of arc AB)

• y = 55

• y = 89

• y = 57

• y = 61

Tags

CCSS.HSG.C.A.2

What mistake is this person making?

Tags

CCSS.HSG.C.A.2

Solve for x.

• x = 115

• x = 100

• x = 95

• x = 67

Tags

CCSS.HSG.C.A.2

Solve for x.

• x = 105

• x = 27

• x = 90

• x = 15

Tags

CCSS.HSG.C.A.2