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.

more
View

Geometry of Circles - Inscribed Angle from Intersected Arc Worksheet

Mobius Math Academy logo
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 BPX if the intersected arc BX is 92º
a
56º
b
61º
c
26º
d
184º
e
31º
f
46º
2
An svg image showing a math problem
Find angle YRD if the intersected arc YD is 84º
a
42º
b
168º
c
62º
d
22º
e
37º
f
27º
3
An svg image showing a math problem
Find angle CBX if the intersected arc CX is 36º
a
23º
b
18º
c
38º
d
13º
e
72º
f
33º
4
An svg image showing a math problem
Find angle PMY if the intersected arc PY is 108º
a
34º
b
216º
c
29º
d
59º
e
74º
f
54º
5
An svg image showing a math problem
Find angle RMC if the intersected arc RC is 40º
a
40º
b
80º
c
20º
d
e
35º
f
30º
6
An svg image showing a math problem
Find angle XBD if the intersected arc XD is 82º
a
31º
b
41º
c
51º
d
26º
e
164º
f
16º
7
An svg image showing a math problem
Find angle CNZ if the intersected arc CZ is 80º
a
20º
b
40º
c
35º
d
50º
e
30º
f
160º