Practice with Angles in Circles
 - Tangent/Chord and Intersecting Chords
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Solve the following problems dealing with angles in circles.
(Do not assume diagrams are drawn to scale.)

1.

Given tangent , find x.

Choose:

30
 60
 120
 240




 

2.

Given tangent , find x.

Choose:

25
 50
100
 260



 

3.

Given tangent , find x.
Hint:  Find y first.

Choose:

72
 108
 144
 216

 

 

4.

Given tangent , find x.
Hint:  Find y first. 

Choose:

30
 60
150
 300

 

 

5.

Given two intersecting chords, find x.   

Choose:

20
 40
60
 80

 

 

6.

Given diameter and chord, find x.   

Choose:

30
 50
 100
 110

 

 

7.

Given diameter perpendicular to a chord, find x.     

Choose:

30
 60
 90
 120

 

 

8.

Given diameter perpendicular to a chord, find y.     

Choose:

30
 60
 90
 180

 

 

9.

The segment through point A is tangent to the circle at A.

Find x.     

Choose:

54
 72
 108
 144

 

 

10.

Two chords intersect within a circle to form an angle whose measure is 53º.  If the intercepted arcs are represented by
 3x + 3 and 10x - 14, find the measure of larger of these two arcs.

Choose:

9
 13
 30
 76

 

 

11.

A small round plate falls off of the china closet and breaks.  The diagram below shows one of the broken pieces.  is tangent to at B and degrees.  What is the measure in degrees of the arc , the outside edge of the broken piece?

Choose:

45
 60
 90
 180