Inscribed Angle from Intersected Arc (Level 1)

This math topic focuses on the geometry of circles, specifically dealing with the relationships and calculations involving inscribed angles and their intersected arcs. Skills being practiced include understanding and computing the measurements of angles formed when two points on a circle's circumference are connected by a chord that intersects at another point on the circumference, given the degree measure of the arc intercepted by the angle. These problems are designed to enhance comprehension of geometric properties associated with circles, enhancing students' ability to work through and apply fundamental concepts in circle geometry.

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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Geometry of Circles - Inscribed Angle from Intersected Arc
1
An svg image showing a math problem
Find angle MNZ if the intersected arc MZ is 96º
a
33º
b
63º
c
192º
d
28º
e
48º
f
58º
2
An svg image showing a math problem
Find angle CNZ if the intersected arc CZ is 80º
a
50º
b
40º
c
30º
d
20º
e
160º
f
35º
3
An svg image showing a math problem
Find angle RMC if the intersected arc RC is 40º
a
b
80º
c
40º
d
20º
e
30º
f
35º
4
An svg image showing a math problem
Find angle NRY if the intersected arc NY is 100º
a
70º
b
200º
c
50º
d
35º
e
55º
f
40º
5
An svg image showing a math problem
Find angle CBX if the intersected arc CX is 36º
a
33º
b
38º
c
23º
d
18º
e
72º
f
13º
6
An svg image showing a math problem
Find angle NPY if the intersected arc NY is 94º
a
47º
b
42º
c
22º
d
62º
e
188º
f
37º
7
An svg image showing a math problem
Find angle XZC if the intersected arc XC is 94º
a
37º
b
47º
c
32º
d
67º
e
42º
f
188º
8
An svg image showing a math problem
Find angle XNP if the intersected arc XP is 92º
a
184º
b
36º
c
46º
d
66º
e
31º
f
41º