Inscribed Angles Subtended by Same Arc - Missing Angle (Level 1)

This math topic focuses on finding missing angles in geometric figures involved with circles, specifically addressing inscribed angles subtended by the same arc. It practices identifying the relationship between different angles within a circle and calculating their measurements based on given angle values. Each problem provides a different setup with a specific angle known, asking to determine another angle in the configuration using geometric principles related to circle properties. The topic helps deepen understanding of circle geometry at an intermediate level, suitable for building problem-solving skills in geometry.

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

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Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle Worksheet

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Math worksheet on 'Geometry of Circles - Inscribed Angles Subtended by Same Arc - 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 CBP in degrees given that CNP is 20º
a
20º
b
160º
c
95º
d
70º
e
25º
f
80º
2
An svg image showing a math problem
Find angle DMP in degrees given that DCP is 30º
a
30º
b
75º
c
105º
d
90º
e
150º
f
60º
3
An svg image showing a math problem
Find angle RNC in degrees given that RYC is 50º
a
b
25º
c
110º
d
40º
e
50º
f
130º
4
An svg image showing a math problem
Find angle NPD in degrees given that NMD is 50º
a
140º
b
25º
c
50º
d
80º
e
110º
f
40º
5
An svg image showing a math problem
Find angle XZM in degrees given that XYM is 70º
a
20º
b
70º
c
85º
d
e
40º
f
55º
6
An svg image showing a math problem
Find angle XYR in degrees given that XCR is 40º
a
50º
b
55º
c
140º
d
40º
e
70º
f
130º
7
An svg image showing a math problem
Find angle MRX in degrees given that MCX is 50º
a
130º
b
40º
c
95º
d
50º
e
35º
f
140º