Angle of a Circle

In the figure,PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120⁰ then ∠APB =

• 60⁰

• 30⁰

• 120⁰

• 75⁰

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠APB = 48⁰ then ∠AOP =

• 68⁰

• 66⁰

• 56⁰

• 76⁰

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠AOP = 45⁰ then ∠APB =

• 65⁰

• 135⁰

• 90⁰

• 22.5⁰

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

• 140

• 170

• 150

• 160

Think about if the angles are equal or if they add up to 180. Solve for x. Plug it in.

Mathematical Equivalence

ON

Find the value of x.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Solve for x:

Mathematical Equivalence

ON

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.

• 36

• 35

• 30

• 41

Solve for [x]. Assume that lines which appear tangent are tangent.

• 8

• 5

• 4

• 9