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

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

• 60⁰

• 30⁰

• 45⁰

• 55⁰

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

• 60⁰

• 110⁰

• 75⁰

• 45⁰

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

• 45⁰

• 60⁰

• 70⁰

• 90⁰

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

• congruent

• not congruent

• 123

• 246

Find the missing angles or arcs.

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

Match the following

• 47

• m<2

• 104

• arc EF

• 52

• m<1

Answer explanation

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

m<1 = 94/2 = 47

m<2= 104/2 = 52

Match the following

• 116^o

• 58^o

• measure of arc RS

• 180^o

• measure of arc ST

• 32^o

• 64^o

• measure of arc RST

Find the measure of arc RT.

• 142

• 98

• 155

• 187