Chapter 6 Angles

In the diagram, RST is a straight line. Find the value of x + y.

• 150

• 160

• 170

• 210

In diagram, ABE and CDE are two common tangents to circles with centres O and P, respectively. Calculate the value of x.

• 20

• 35

• 60

• 70

Choose the relationship that can be made from the angles shown.

• x = 90°

• x = y

• x + y = 180°

• y = 2x

• x = 2y

Find the value of x.

Find the value of x.

The diagram shows AOC is the diameter of the circle centred at O. Find the values of x, y and z.

• x = 72o, y = 36o, z = 108o

• x = 42o, y = 84o, z = 48o

• x = 36o, y = 72o, z = 54o

• x = 48o, y = 96o, z = 42o

• x = 42o, y = 96o, z = 48o

The diagram shows FOH is the diameter of a circle centred at O. Given that, the length of arc FG is equal to the length of arc HJ. Find the values of x, y and z.

• x = 72o, y = 36o, z = 108o

• x = 42o, y = 84o, z = 48o

• x = 36o, y = 72o, z = 54o

• x = 48o, y = 96o, z = 42o

• x = 42o, y = 96o, z = 48o

Find the value of x and y.

• x = 65o, y = 115o

• x = 50o, y = 40o

• x = 20o, y = 50o

• x = 40o, y = 50o

• x = 50o, y = 80o

The diagram shows PQR is a tangent to the circle. Find the value of x and y.

• x = 65o, y = 115o

• x = 50o, y = 40o

• x = 20o, y = 50o

• x = 40o, y = 50o

• x = 50o, y = 80o

Find the value of x.