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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Geometry of Circles - Tangent Triangle with Missing Angle
1
An svg image showing a math problem
Find angle NRY in degrees given that NYR is 35º
a
55º
b
130º
c
115º
d
20º
e
70º
f
2
An svg image showing a math problem
Find angle PDR in degrees given that PRD is 65º
a
b
115º
c
50º
d
100º
e
25º
f
55º
3
An svg image showing a math problem
Find angle DZC in degrees given that DCZ is 60º
a
120º
b
30º
c
15º
d
45º
e
75º
f
90º
4
An svg image showing a math problem
Find angle NZD in degrees given that NDZ is 25º
a
20º
b
65º
c
125º
d
35º
e
155º
f
50º
5
An svg image showing a math problem
Find angle BDX in degrees given that BXD is 35º
a
100º
b
55º
c
130º
d
10º
e
115º
f
85º
6
An svg image showing a math problem
Find angle PCM in degrees given that PMC is 65º
a
35º
b
70º
c
20º
d
100º
e
50º
f
25º
7
An svg image showing a math problem
Find angle NPC in degrees given that NCP is 55º
a
125º
b
10º
c
d
65º
e
35º
f
80º
8
An svg image showing a math problem
Find angle NPD in degrees given that NDP is 25º
a
95º
b
50º
c
80º
d
110º
e
140º
f
65º