Tangents of Circles and Angles

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

• 28

• 32

• 36

• 48

Tags

CCSS.7.G.B.5

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

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• 30

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• 40

Tags

CCSS.HSG.C.A.2

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

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• 210

Tags

CCSS.8.G.A.5

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

Tags

CCSS.HSG.C.A.2

Solve for x.

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• 33

• 41.5

• 50

Tags

CCSS.HSG.C.A.2

Find the measure of <E.

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• 8

• 44

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CCSS.HSG.C.A.2

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?

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• 114

Tags

CCSS.HSG.C.A.2

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

• 111

• 69

• 55.5

• 21

Tags

CCSS.HSG.C.A.2

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.

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• 36

• 18

Tags

CCSS.HSG.C.A.2

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

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Tags

CCSS.HSG.C.A.2