Geometry of Circles - Tangent Triangle with Missing Angle (Level 1)

This math topic focuses on the geometry of circles, specifically dealing with problems involving tangent triangles and finding missing angles. The questions provide one angle of a triangle formed by tangents or secants intersecting a circle and require the calculation of another angle within the same configuration. This set of problems falls under the intermediate category of geometry practice. The exercises are designed to enhance the understanding and application of geometric properties related to circles and triangles.

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

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Tangent Triangle with Missing Angle

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Find angle BNX in degrees given that BXN is 25º

NBX

Geometry of Circles - Tangent Triangle with Missing Angle Worksheet

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Math worksheet on 'Geometry of Circles - Tangent Triangle with Missing 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 BNX in degrees given that BXN is 25º
a
65º
b
80º
c
10º
d
140º
e
20º
f
2
An svg image showing a math problem
Find angle DBC in degrees given that DCB is 65º
a
25º
b
115º
c
85º
d
10º
e
f
40º
3
An svg image showing a math problem
Find angle CZX in degrees given that CXZ is 55º
a
80º
b
95º
c
20º
d
50º
e
65º
f
35º
4
An svg image showing a math problem
Find angle NPX in degrees given that NXP is 40º
a
140º
b
35º
c
d
25º
e
20º
f
50º
5
An svg image showing a math problem
Find angle YXP in degrees given that YPX is 40º
a
110º
b
95º
c
50º
d
e
20º
f
65º
6
An svg image showing a math problem
Find angle DNP in degrees given that DPN is 55º
a
10º
b
50º
c
d
20º
e
35º
f
25º
7
An svg image showing a math problem
Find angle YPC in degrees given that YCP is 45º
a
135º
b
75º
c
105º
d
e
45º
f
30º