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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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 BMN in degrees given that RN forms a tangent
a
75º
b
30º
c
45º
d
120º
e
105º
f
90º
2
An svg image showing a math problem
Find angle NZY in degrees given that XY forms a tangent
a
135º
b
75º
c
60º
d
30º
e
90º
f
180º
3
An svg image showing a math problem
Find angle RMB in degrees given that PB forms a tangent
a
75º
b
135º
c
90º
d
60º
e
15º
f
150º
4
An svg image showing a math problem
Find angle XDP in degrees given that BP forms a tangent
a
90º
b
165º
c
105º
d
45º
e
180º
f
30º
5
An svg image showing a math problem
Find angle YNX in degrees given that CX forms a tangent
a
180º
b
60º
c
45º
d
30º
e
120º
f
90º
6
An svg image showing a math problem
Find angle MBD in degrees given that PD forms a tangent
a
60º
b
150º
c
135º
d
90º
e
165º
f
45º
7
An svg image showing a math problem
Find angle CDM in degrees given that BM forms a tangent
a
45º
b
180º
c
60º
d
90º
e
105º
f
150º
8
An svg image showing a math problem
Find angle ZXY in degrees given that BY forms a tangent
a
90º
b
30º
c
180º
d
15º
e
165º
f
150º