Interior Angles of Circles and Arcs

If AB and CD are two chords of a circle intersecting at point E, as per the given figure. Then:

• ∠BEQ > ∠CEQ

• ∠BEQ = ∠CEQ

• ∠BEQ < ∠CEQ

• None of the above

Tags

CCSS.HSG.C.A.2

In the below figure, the value of ∠ADC is:

• 60⁰

• 30⁰

• 45⁰

• 55⁰

Tags

CCSS.HSG.C.A.2

In the figure, O is the centre of the circle and PR = QR. What is the measure of ∠PQR?

• 60⁰

• 110⁰

• 75⁰

• 45⁰

Tags

CCSS.HSG.C.A.2

In the figure, O is the centre of the circle. What is the measure of ∠ACB?

• 45⁰

• 60⁰

• 70⁰

• 90⁰

Tags

CCSS.HSG.C.A.2

Arc AB and Arc BC are​ ​ (a)   . Arc AB equals ​ (b)   and Arc BC equals ​ (c)   .

• congruent

• not congruent

• 123

• 246

Tags

CCSS.HSG.C.B.5

Find the missing angles or arcs.

(a)  

Tags

CCSS.HSG.C.A.2

Given AB and MN are diameters of circle E. Find the measure of arc AC.

Tags

CCSS.HSG.C.B.5

Match the following

• 52

• m<1

• 47

• arc EF

• 104

• m<2

Answer explanation

arc EF = Add 58+104+94=256. Then 360 - 256 = 104

m<1 = 94/2 = 47

m<2= 104/2 = 52

Tags

CCSS.HSG.C.A.2

Match the following

• 180^o

• measure of arc ST

• 58^o

• 116^o

• 32^o

• measure of arc RST

• 64^o

• measure of arc RS

Tags

CCSS.HSG.C.A.2

Find the measure of arc RT.

• 142

• 98

• 155

• 187

Tags

CCSS.HSG.C.A.2