Geometry of Circles - 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.

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Inscribed Angle from Central

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Find angle CRN if angle CXN is 19.5º

CNXR

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 CRN if angle CXN is 19.5º
a
49º
b
10º
c
39º
d
59º
e
24º
f
44º
2
An svg image showing a math problem
Find angle CDP if angle CNP is 33.5º
a
87º
b
62º
c
17º
d
67º
e
77º
f
57º
3
An svg image showing a math problem
Find angle DMR if angle DBR is 17.5º
a
45º
b
35º
c
20º
d
e
10º
f
55º
4
An svg image showing a math problem
Find angle RCD if angle RPD is 64.5º
a
139º
b
114º
c
32º
d
129º
e
124º
f
149º
5
An svg image showing a math problem
Find angle YNB if angle YZB is 37.5º
a
70º
b
55º
c
60º
d
95º
e
19º
f
75º
6
An svg image showing a math problem
Find angle YMN if angle YXN is 59.5º
a
119º
b
30º
c
109º
d
134º
e
129º
f
104º
7
An svg image showing a math problem
Find angle ZYX if angle ZMX is 54.5º
a
109º
b
27º
c
84º
d
124º
e
129º
f
94º