Geometry of Circles - Tangent Angle (Level 1)

This math topic focuses on the Geometry of Circles, specifically exploring how tangent lines interact with angles within circles. It includes multiple problems (seven total), each requiring the calculation of different angles formed when a line tangent to a circle meets another line or segment. Students must determine the values of these angles, given limited information and a diagram for each problem. This type of exercise helps in understanding geometric properties and relationships involving circles, tangents, and angles, suitable for intermediate level students.

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

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Tangent Angle

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Find angle CMX in degrees given that DX forms a tangent

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Geometry of Circles - Tangent Angle Worksheet

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Math worksheet on 'Geometry of Circles - Tangent Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/
1
An svg image showing a math problem
Find angle YBX in degrees given that RX forms a tangent
a
150º
b
120º
c
180º
d
90º
e
75º
f
30º
2
An svg image showing a math problem
Find angle CXY in degrees given that ZY forms a tangent
a
105º
b
30º
c
60º
d
120º
e
90º
f
150º
3
An svg image showing a math problem
Find angle CNX in degrees given that MX forms a tangent
a
75º
b
90º
c
60º
d
30º
e
150º
f
45º
4
An svg image showing a math problem
Find angle CMX in degrees given that DX forms a tangent
a
30º
b
90º
c
150º
d
180º
e
165º
f
45º
5
An svg image showing a math problem
Find angle MBD in degrees given that PD forms a tangent
a
90º
b
135º
c
150º
d
165º
e
45º
f
60º
6
An svg image showing a math problem
Find angle YNX in degrees given that CX forms a tangent
a
180º
b
60º
c
30º
d
90º
e
45º
f
120º
7
An svg image showing a math problem
Find angle CDX in degrees given that PX forms a tangent
a
90º
b
135º
c
45º
d
165º
e
15º
f
105º