WorksheetsTangents and Circumscribed Angles
Total questions: 20
Worksheet time: 20mins
What is the measure of ∠BDC?
64°
128°
32°
116°
What is the measure of ∠BFE?
180°
90°
45°
360°
What is the measure of ∠EBC?
90°
64°
32°
58°
What is the measure of ∠ABG?
90°
124°
62°
56°
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
Solve for x.
29
33
41.5
50
What is the measure of ∠BGC?
90°
124°
62°
56°
Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.
x = 14.4
x = 8.9
x = 16
x = 8
Find x. P is the center of the circle. Segments that appear to be tangent are tangent.
11.2
18.0
25.0
30.0
In the figure, PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120° then ∠APB =
600
300
1200
750
Is line AB tangent to the circle?
Hint: Use c2=a2+b2 and remember (8+12) is our c.
YES
NO
Can't Tell
Using lines tangent to the circle, find the value of x.
57
137
47
257
Find the radius r.
2
3
4
5
QS is a tangent to circle P. Find QS.
144
14
12
13
Using the tangent lines, find the value of x.
60
120
30
300
Find the value of x.
105
65
45
25
Determine if a tangent line is shown in the picture.
Yes
No
Not sure
Using the tangent lines, find the value of x.
60
120
30
300
Solve for "?"
70
220
110
55
Find x. Assume that segments that appear to be tangent are tangent.
2
11
7.6
9
