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Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle (Level 2)

This math topic focuses on the geometry of circles, specifically on calculating inscribed angles that are subtended by the same arc. The problems involve determining unknown angles given one angle measurement and the geometric configuration in circle diagrams. Each question presents a different configuration involving points on the circumference of a circle, requiring the application of principles related to inscribed angles and arcs to find the missing angle. There are multiple-choice answers provided for each question to select from. This topic is suitable for intermediate-level geometry practice.

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

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Inscribed Angles Subtended by Same Arc - Missing Angle

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Find angle NYZ in degrees given that NBZ is 25º

NZYB

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 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 MRZ in degrees given that MNZ is 25º
a
100º
b
25º
c
85º
d
70º
e
10º
f
65º
2
An svg image showing a math problem
Find angle CYZ in degrees given that CRZ is 65º
a
65º
b
50º
c
25º
d
125º
e
155º
f
80º
3
An svg image showing a math problem
Find angle ZRC in degrees given that ZMC is 25º
a
25º
b
65º
c
85º
d
40º
e
115º
f
70º
4
An svg image showing a math problem
Find angle NZR in degrees given that NBR is 35º
a
35º
b
50º
c
55º
d
125º
e
10º
f
145º
5
An svg image showing a math problem
Find angle YCB in degrees given that YPB is 35º
a
65º
b
125º
c
40º
d
55º
e
35º
f
95º
6
An svg image showing a math problem
Find angle BYZ in degrees given that BXZ is 45º
a
135º
b
c
90º
d
30º
e
45º
f
75º
7
An svg image showing a math problem
Find angle YBC in degrees given that YNC is 65º
a
65º
b
25º
c
140º
d
80º
e
10º
f
115º