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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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 ZDP in degrees given that ZPD is 60º
a
30º
b
75º
c
45º
d
15º
e
105º
f
90º
2
An svg image showing a math problem
Find angle DBN in degrees given that DNB is 55º
a
80º
b
125º
c
35º
d
20º
e
65º
f
25º
3
An svg image showing a math problem
Find angle YPC in degrees given that YCP is 45º
a
30º
b
45º
c
75º
d
105º
e
135º
f
4
An svg image showing a math problem
Find angle XRD in degrees given that XDR is 35º
a
145º
b
10º
c
70º
d
20º
e
115º
f
55º
5
An svg image showing a math problem
Find angle NPX in degrees given that NXP is 40º
a
50º
b
25º
c
20º
d
140º
e
f
35º
6
An svg image showing a math problem
Find angle ZYD in degrees given that ZDY is 65º
a
115º
b
100º
c
20º
d
e
85º
f
25º
7
An svg image showing a math problem
Find angle ZCB in degrees given that ZBC is 55º
a
125º
b
80º
c
50º
d
25º
e
65º
f
35º