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Angle Relationships Inside Circles

Total questions: 8

Worksheet time: 8mins

Name
Class
Date
1.

Find the m<MLN.

a)

39°

b)

32°

c)

48°

d)

34°

2.

What is x?

a)

5

b)

23

c)

2

d)

28

3.

In the circle, the diameter QS intersects the chord PR at M, the midpoint of PR. Given that O is the centre of the circle and POQ = 136°\angle POQ\ =\ 136\degree  , calculate RSQ\angle RSQ  

(a)  

4.

Solve for x.

(a)  

5.

Solve for x. 

a)

20

b)

40

c)

85

6.

Find a and b.

a)

a=74 degrees
b=93 degrees

b)

a=93 degrees
b=74 degrees

c)

a=87 degrees
b=106 degrees

d)

a=106 degrees
b=87 degrees

7.

In the figure, PT is a tangent to the circle, centre O and POS is a diameter. The radius OR is parallel to PT, the line TO cuts the circle at Q and OTP = 36°\angle OTP\ =\ 36\degree  Find QSR\angle QSR  

(a)  

8.

Find the measure of angle CAD.

a)

95°95\degree

b)

275°275\degree

c)

47.5°47.5\degree

d)

190°190\degree