Geometry of Circles - Central Angle from Inscribed (Level 2)

This math topic focuses on the geometry of circles, specifically on understanding the relationship between central and inscribed angles. Students are tasked with solving problems that require calculating unknown angles based on given inscribed angles within various circle diagrams. Each question provides a numerical measure of an inscribed angle, and multiple choice answers for the corresponding central angle. These problems are designed to enhance students' skills in geometric reasoning and the properties of circles at an intermediate level.

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Central Angle from Inscribed

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Find angle DNC if angle DBC is 68.5º

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Geometry of Circles - Central Angle from Inscribed Worksheet

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Math worksheet on 'Geometry of Circles - Central Angle from Inscribed (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 DNC if angle DBC is 68.5º
a
142º
b
34º
c
137º
d
157º
e
122º
f
132º
2
An svg image showing a math problem
Find angle NMY if angle NCY is 43.5º
a
77º
b
62º
c
22º
d
72º
e
87º
f
67º
3
An svg image showing a math problem
Find angle ZXN if angle ZDN is 27.5º
a
65º
b
14º
c
30º
d
55º
e
70º
f
45º
4
An svg image showing a math problem
Find angle BYM if angle BCM is 42.5º
a
100º
b
70º
c
85º
d
75º
e
21º
f
80º
5
An svg image showing a math problem
Find angle MZN if angle MPN is 40.5º
a
61º
b
20º
c
71º
d
81º
e
56º
f
96º
6
An svg image showing a math problem
Find angle BXP if angle BZP is 44.5º
a
99º
b
94º
c
64º
d
69º
e
22º
f
89º
7
An svg image showing a math problem
Find angle DPZ if angle DNZ is 46.5º
a
23º
b
93º
c
108º
d
103º
e
88º
f
113º