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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Geometry of Circles - Tangent Triangle with Missing Angle Worksheet

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Geometry of Circles - Tangent Triangle with Missing Angle
1
An svg image showing a math problem
Find angle ZCD in degrees given that ZDC is 40º
a
25º
b
110º
c
50º
d
125º
e
140º
f
20º
2
An svg image showing a math problem
Find angle MDP in degrees given that MPD is 65º
a
b
100º
c
70º
d
25º
e
35º
f
115º
3
An svg image showing a math problem
Find angle ZCB in degrees given that ZBC is 55º
a
25º
b
80º
c
65º
d
35º
e
125º
f
50º
4
An svg image showing a math problem
Find angle YPC in degrees given that YCP is 45º
a
75º
b
105º
c
30º
d
e
135º
f
45º
5
An svg image showing a math problem
Find angle BNX in degrees given that BXN is 25º
a
65º
b
10º
c
80º
d
20º
e
140º
f
6
An svg image showing a math problem
Find angle CZX in degrees given that CXZ is 55º
a
20º
b
50º
c
95º
d
80º
e
35º
f
65º
7
An svg image showing a math problem
Find angle XMZ in degrees given that XZM is 45º
a
45º
b
30º
c
15º
d
e
135º
f
75º
8
An svg image showing a math problem
Find angle NCR in degrees given that NRC is 45º
a
b
75º
c
15º
d
45º
e
30º
f
90º