Tangent Angle (Level 2)

This math topic focuses on the geometry of circles, specifically involving calculations related to tangent angles. It offers intermediate-level practice on angles formed by tangents to circles. The problems require students to find the values of specific angles when a line segment forms a tangent to a circle, using given multiple-choice answers. Each question provides an image illustrating the geometric setup and a set of potential angles as answers. This set of problems enhances the understanding of the properties and relations of tangents to a circle in geometric configurations.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Tangent Angle Worksheet

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Geometry of Circles - Tangent Angle
1
An svg image showing a math problem
Find angle XYP in degrees given that BP forms a tangent
a
105º
b
90º
c
120º
d
150º
e
165º
f
180º
2
An svg image showing a math problem
Find angle MRC in degrees given that BC forms a tangent
a
90º
b
135º
c
75º
d
150º
e
165º
f
60º
3
An svg image showing a math problem
Find angle MNR in degrees given that YR forms a tangent
a
150º
b
120º
c
45º
d
165º
e
90º
f
180º
4
An svg image showing a math problem
Find angle ZDC in degrees given that MC forms a tangent
a
165º
b
105º
c
90º
d
120º
e
150º
f
75º
5
An svg image showing a math problem
Find angle YDZ in degrees given that XZ forms a tangent
a
120º
b
105º
c
135º
d
180º
e
90º
f
15º
6
An svg image showing a math problem
Find angle NPB in degrees given that YB forms a tangent
a
180º
b
90º
c
165º
d
30º
e
150º
f
60º
7
An svg image showing a math problem
Find angle XYB in degrees given that CB forms a tangent
a
30º
b
105º
c
150º
d
90º
e
60º
f
165º
8
An svg image showing a math problem
Find angle RCZ in degrees given that PZ forms a tangent
a
120º
b
165º
c
30º
d
15º
e
90º
f
105º