Find Angle Using Unit Circle

Find the measure of angle YZX

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

Mathematical Equivalence

ON

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

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CCSS.HSG.C.A.2

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

• 40

• 45

• 50

• 60

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CCSS.HSG.C.A.2

Find x

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2

In the circle shown, the measure of arc KJ = 128^o, and the measure of arc ML = 56^o . Select the measure of each angle below. Angle N: ​ (a)   Angle O: ​ (b)   Angle P: ​ (c)   ​

• 128

• 64

• 36

• 32

• 92

• 56

• 72

• 28

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CCSS.HSG.C.A.2

1. (a)   2.​ (b)   3.​ (c)   ​4. ​ (d)   5. ​ (e)  

• 7

• 8

• 118

• 125

• 135

• 146

• 79

• 304

• 145

• 204

Tags

CCSS.HSG.C.A.2

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

• 102

• 204

• 129

• 51

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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 x.

Mathematical Equivalence

ON

Tags

CCSS.HSG.C.A.2