Tangent Triangle with Missing Angle (Level 2)

This math topic focuses on the geometry of circles, specifically involving tangent triangles where one must find the missing angle. It encompasses a range of questions where learners are given one angle of a triangle and asked to determine another. Solutions are provided in a multiple-choice format, testing the ability to apply geometric principles and understanding of circle properties and triangle angle sums. It is designed for intermediate level learners, aimed at developing and assessing skills in solving problems related to the geometry of circles and tangent 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 2)'. 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 PMY in degrees given that PYM is 40º
a
140º
b
c
110º
d
20º
e
50º
f
25º
2
An svg image showing a math problem
Find angle DZC in degrees given that DCZ is 60º
a
45º
b
15º
c
75º
d
120º
e
90º
f
30º
3
An svg image showing a math problem
Find angle PCM in degrees given that PMC is 65º
a
100º
b
35º
c
70º
d
20º
e
50º
f
25º
4
An svg image showing a math problem
Find angle RPC in degrees given that RCP is 40º
a
80º
b
140º
c
50º
d
35º
e
20º
f
25º
5
An svg image showing a math problem
Find angle CPB in degrees given that CBP is 55º
a
110º
b
35º
c
20º
d
10º
e
25º
f
125º
6
An svg image showing a math problem
Find angle YXM in degrees given that YMX is 35º
a
100º
b
10º
c
115º
d
130º
e
f
55º
7
An svg image showing a math problem
Find angle BDX in degrees given that BXD is 35º
a
10º
b
100º
c
85º
d
55º
e
115º
f
130º