Solving for Angles in a Circle

Find the value of the angle marked x....

• 102

• 51

• 129

• 78

Tags

CCSS.HSG.C.A.2

Find the value of the angle marked x....

• 50

• 100

• 80

• 45

Tags

CCSS.HSG.C.A.2

Given circle O, what is the m∠ACB?​ (a)  

• 22.5°

• 90°

• 45°

Tags

G.11a

Find the value of the angle marked x....

• 40

• 45

• 50

• 60

Tags

CCSS.HSG.C.A.2

What is the value of the missing angle "?"

• 62º

• 56º

• 50º

• 46º

Tags

CCSS.HSG.C.A.2

What is the measure of the value of x in the diagram? ​ ​​ (a)  

• 102

• 204

• 129

• 51

Tags

CCSS.HSG.C.A.2

Section 10-4: x = ​ (a)   and y = ​ (b)  

• 110

• 42.5

• 30

• 55

• 85

• 125

• 95

Answer explanation

If a quadrilateral is inscribed in a circle then the opposite angles are supplementary.

x = 180 - 55 = 125

y = 180 - 85 = 95

Tags

CCSS.HSG.C.A.2

What is the measure of ∠RSQ ?

Mathematical Equivalence

ON

Answer explanation

Find the measure of arc RQ.

360 - 121 - 157 = 82

m∠RSQ = ½ arc RQ

m∠RSQ = ½ (82)

m∠RSQ = 41

Tags

CCSS.HSG.C.A.2

What is the measure of ∠RSQ ?

Mathematical Equivalence

ON

Answer explanation

Find the measure of arc RQ.

360 - 121 - 157 = 82

m∠RSQ = ½ arc RQ

m∠RSQ = ½ (82)

m∠RSQ = 41

Tags

CCSS.HSG.C.A.2

Find m∠PQR.

Mathematical Equivalence

ON

Answer explanation

Angle is formed by two tangents

Find the large arc 360 - 125 = 235

m∠PQR = ½ (235 - 125)

m∠PQR = 55

Tags

CCSS.HSG.C.A.2