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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Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle
1
An svg image showing a math problem
Find angle YPB in degrees given that YDB is 20º
a
40º
b
25º
c
110º
d
35º
e
70º
f
20º
2
An svg image showing a math problem
Find angle PNY in degrees given that PRY is 60º
a
60º
b
75º
c
15º
d
105º
e
120º
f
45º
3
An svg image showing a math problem
Find angle DZC in degrees given that DRC is 40º
a
b
40º
c
50º
d
35º
e
10º
f
130º
4
An svg image showing a math problem
Find angle PYZ in degrees given that PXZ is 70º
a
110º
b
70º
c
25º
d
100º
e
20º
f
55º
5
An svg image showing a math problem
Find angle CPZ in degrees given that CMZ is 40º
a
100º
b
40º
c
50º
d
130º
e
f
35º
6
An svg image showing a math problem
Find angle NCY in degrees given that NZY is 30º
a
90º
b
60º
c
45º
d
30º
e
105º
f
150º
7
An svg image showing a math problem
Find angle RNZ in degrees given that RDZ is 20º
a
20º
b
160º
c
95º
d
55º
e
110º
f
10º
8
An svg image showing a math problem
Find angle YMZ in degrees given that YBZ is 20º
a
70º
b
35º
c
160º
d
20º
e
80º
f
40º