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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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 DMR if the intersected arc DR is 99º
a
198º
b
59.5º
c
49.5º
d
44.5º
e
39.5º
f
34.5º
2
An svg image showing a math problem
Find angle ZDP if the intersected arc ZP is 83º
a
41.5º
b
51.5º
c
61.5º
d
166º
e
21.5º
f
46.5º
3
An svg image showing a math problem
Find angle CYB if the intersected arc CB is 81º
a
30.5º
b
55.5º
c
40.5º
d
35.5º
e
60.5º
f
162º
4
An svg image showing a math problem
Find angle ZRB if the intersected arc ZB is 35º
a
32.5º
b
70º
c
22.5º
d
17.5º
e
2.5º
f
12.5º
5
An svg image showing a math problem
Find angle PYR if the intersected arc PR is 33º
a
21.5º
b
66º
c
11.5º
d
3.5º
e
16.5º
f
31.5º
6
An svg image showing a math problem
Find angle CRM if the intersected arc CM is 39º
a
39.5º
b
78º
c
14.5º
d
19.5º
e
0.5º
f
24.5º
7
An svg image showing a math problem
Find angle PRY if the intersected arc PY is 65º
a
42.5º
b
130º
c
22.5º
d
17.5º
e
32.5º
f
12.5º
Geometry of Circles - Inscribed Angle from Intersected Arc (Level 2) - Mobius Math Academy