Inscribed Angle from Central (Level 2)

This math topic focuses on the geometry of circles, specifically the relationship between inscribed angles and their corresponding central angles. It challenges learners to calculate the measures of various inscribed angles based on given central angles within different circle configurations. The problems are presented with multiple-choice answers, enabling practice in applying geometric principles to solve for unknown angles in a circle's context at an intermediate level. This practice is part of a broader introductory unit on intermediate geometry.

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

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Geometry of Circles - Inscribed Angle from Central Worksheet

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Math worksheet on 'Geometry of Circles - Inscribed Angle from Central (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/
1
An svg image showing a math problem
Find angle PCB if angle PXB is 44.5º
a
74º
b
89º
c
69º
d
79º
e
94º
f
22º
2
An svg image showing a math problem
Find angle MPB if angle MNB is 41.5º
a
83º
b
93º
c
78º
d
21º
e
98º
f
73º
3
An svg image showing a math problem
Find angle ZMY if angle ZNY is 50.5º
a
76º
b
121º
c
81º
d
101º
e
25º
f
91º
4
An svg image showing a math problem
Find angle XDP if angle XCP is 25.5º
a
56º
b
51º
c
13º
d
61º
e
31º
f
66º
5
An svg image showing a math problem
Find angle DPB if angle DNB is 57.5º
a
29º
b
110º
c
120º
d
130º
e
115º
f
135º
6
An svg image showing a math problem
Find angle MBY if angle MRY is 66.5º
a
33º
b
123º
c
133º
d
118º
e
138º
f
108º
7
An svg image showing a math problem
Find angle YBD if angle YCD is 23.5º
a
47º
b
32º
c
12º
d
27º
e
42º
f
57º