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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Math worksheet on 'Geometry of Circles - Inscribed Angle from Intersected Arc (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 PBZ if the intersected arc PZ is 40º
a
20º
b
35º
c
80º
d
15º
e
f
25º
2
An svg image showing a math problem
Find angle BZY if the intersected arc BY is 44º
a
32º
b
22º
c
d
17º
e
f
88º
3
An svg image showing a math problem
Find angle XPB if the intersected arc XB is 98º
a
49º
b
69º
c
29º
d
54º
e
196º
f
64º
4
An svg image showing a math problem
Find angle YMD if the intersected arc YD is 64º
a
37º
b
128º
c
27º
d
22º
e
32º
f
52º
5
An svg image showing a math problem
Find angle BNM if the intersected arc BM is 52º
a
26º
b
104º
c
d
11º
e
31º
f
16º
6
An svg image showing a math problem
Find angle PMY if the intersected arc PY is 82º
a
56º
b
164º
c
26º
d
36º
e
31º
f
41º
7
An svg image showing a math problem
Find angle YPM if the intersected arc YM is 66º
a
132º
b
33º
c
43º
d
48º
e
38º
f