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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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 NZR in degrees given that NBR is 35º
a
145º
b
125º
c
50º
d
10º
e
35º
f
55º
2
An svg image showing a math problem
Find angle NPY in degrees given that NZY is 65º
a
110º
b
25º
c
65º
d
10º
e
140º
f
115º
3
An svg image showing a math problem
Find angle XZM in degrees given that XRM is 45º
a
90º
b
105º
c
135º
d
30º
e
45º
f
120º
4
An svg image showing a math problem
Find angle XYR in degrees given that XZR is 45º
a
90º
b
120º
c
45º
d
15º
e
75º
f
135º
5
An svg image showing a math problem
Find angle MXN in degrees given that MYN is 55º
a
125º
b
115º
c
35º
d
25º
e
40º
f
55º
6
An svg image showing a math problem
Find angle XRD in degrees given that XYD is 65º
a
115º
b
95º
c
155º
d
65º
e
140º
f
50º
7
An svg image showing a math problem
Find angle NMY in degrees given that NBY is 25º
a
20º
b
65º
c
d
40º
e
25º
f
155º
Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle (Level 2) - Mobius Math