Geometry of Circle

Inscribed Angle from Intersected Arc (Level 2)

This math topic focuses on solving problems related to the geometry of circles, specifically calculating inscribed angles from given intersected arcs. The problems require users to find the measure of an angle based on the degrees of the arc opposite the angle. These exercises are designed for students with intermediate knowledge of geometry and provide a practical application of the Inscribed Angle Theorem, which states that the inscribed angle is half the measure of its intercepted arc. The questions include multiple-choice answers, enhancing the problem-solving skills needed to determine and verify the correct inscribed angle values.

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

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Inscribed Angle from Intersected Arc

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Find angle XYB if the intersected arc XB is 83º

XBY

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Geometry of Circles - Inscribed Angle from Intersected Arc Worksheet

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Math worksheet on 'Geometry of Circles - Inscribed Angle from Intersected Arc (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 RZD if the intersected arc RD is 77º
a
28.5º
b
13.5º
c
58.5º
d
38.5º
e
43.5º
f
154º
2
An svg image showing a math problem
Find angle MZN if the intersected arc MN is 83º
a
21.5º
b
46.5º
c
166º
d
41.5º
e
61.5º
f
51.5º
3
An svg image showing a math problem
Find angle DCX if the intersected arc DX is 31º
a
62º
b
9.5º
c
5.5º
d
35.5º
e
25.5º
f
15.5º
4
An svg image showing a math problem
Find angle YBZ if the intersected arc YZ is 57º
a
28.5º
b
18.5º
c
33.5º
d
23.5º
e
8.5º
f
114º
5
An svg image showing a math problem
Find angle DMN if the intersected arc DN is 33º
a
26.5º
b
1.5º
c
16.5º
d
66º
e
21.5º
f
3.5º
6
An svg image showing a math problem
Find angle YMR if the intersected arc YR is 53º
a
31.5º
b
106º
c
36.5º
d
21.5º
e
46.5º
f
26.5º
7
An svg image showing a math problem
Find angle DRM if the intersected arc DM is 89º
a
39.5º
b
54.5º
c
59.5º
d
178º
e
44.5º
f
64.5º