Angle Properties of Circles

The diagram shows a circle, centre O.

What is the value of x

• 106

• 53

• 37

• 90

The diagram shows a circle, centre O.

What is the value of z.

• 116

• 244

• 58

• 122

The diagram shows a circle, centre O.
Points A, B, C and D lie on the circumference.
AB=BC
What is the value of angle ADC

• 76

• 52

• 104

• 38

The diagram shows a circle, centre O.
P, Q, R and S are points on the circumference.
Select all the correct statements.

• Angle QPS = Angle QRS = 90, because right angle in a semicircle

• Angle SQP=27, because tangent is perpendicular to the radius

• Angle PSQ=63, because angle in alternate segment

• Angle SPQ=27, because angles in the same segment

In the figure, O is the centre of the circle. If ∠ADC = 140°, then what is the value of x?

• 45^o

• 55^o

• 60^o

• 50^o

Determine y.

• 30

• 60

• 90

• 180

A,B, C, and D lie on a circle, centre O.

SCT is a tangent and is parallel to OB.

What are the values of x, y, z and the reflex angle AOC.

• x=40, y=20, z=120, reflex angle AOC=130

• x=40, y=25, z=115, reflex angle AOC=230

• x=40, y=25, z=115, reflex angle AOC=130

• x=40, y=25, z=130, reflex angle AOC=230

What are the values of p and q?

• p=30, q=18

• p=18, q=30

• p=36, q=15

• p=20, q=30

Find a and b.

• a=74 degrees
  b=93 degrees

• a=93 degrees
  b=74 degrees

• a=87 degrees
  b=106 degrees

• a=106 degrees
  b=87 degrees

Find a.

• 30

• 21

• 60

• 120