Geometry of Circles - Central Angle from Inscribed (Level 1)

This math topic explores the relationships between central angles and inscribed angles in a circle, focusing specifically on calculating central angles when given corresponding inscribed angles. Each of the problems presents a different circle configuration, and learners are tasked with finding specific central angles based on the given inscribed angles. The set of answers for each question requires learners to understand and apply theorems relating to angles in circles, ensuring a deeper comprehension of circle geometry at an intermediate level.

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Central Angle from Inscribed

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Find angle XNP if angle XZP is 33º

XPZN

Geometry of Circles - Central Angle from Inscribed Worksheet

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Math worksheet on 'Geometry of Circles - Central Angle from Inscribed (Level 1)'. 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 DPY if angle DCY is 34º
a
78º
b
68º
c
17º
d
83º
e
63º
f
58º
2
An svg image showing a math problem
Find angle MCD if angle MND is 52º
a
26º
b
79º
c
89º
d
84º
e
104º
f
109º
3
An svg image showing a math problem
Find angle XNP if angle XZP is 33º
a
76º
b
17º
c
66º
d
71º
e
81º
f
61º
4
An svg image showing a math problem
Find angle CMX if angle CBX is 32º
a
64º
b
59º
c
16º
d
49º
e
79º
f
44º
5
An svg image showing a math problem
Find angle YMZ if angle YNZ is 42º
a
84º
b
79º
c
94º
d
74º
e
21º
f
64º
6
An svg image showing a math problem
Find angle PZB if angle PMB is 33º
a
66º
b
46º
c
81º
d
51º
e
17º
f
41º
7
An svg image showing a math problem
Find angle NZC if angle NPC is 38º
a
61º
b
96º
c
76º
d
56º
e
86º
f
19º