Tangents of Circles and Angles

In the diagram, PTR and QTS are straight lines. Find the value of x.

• 28

• 32

• 36

• 48

The diagram shows a circle with centre O. Find the value of x.

• 25

• 30

• 35

• 40

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

• 150

• 160

• 170

• 210

In the diagram, PQ and QR are tangents to a circle at P and R respectively. Which of the following statements is correct?

Solve for x.

• 29

• 33

• 41.5

• 50

Find the measure of <E.

• 7

• 8

• 44

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

• 26

• 57

• 66

• 114

The diagram shows a circle with centre O. Find the value of y.

• 111

• 69

• 55.5

• 21

In the diagram, RTS is a tangent to a circle at point T and the arc length of minor sector OQP is 1/5 of the circumference of the circle with centre O. Find the value of x.

• 75

• 72

• 36

• 18

In the diagram, KLMN is a tangent to a circle MTR. RSM is a straight line. Find the value x.

• 50

• 70

• 110

• 120