Geometry of Circles - 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.

View Unit

Inscribed Angle from Intersected Arc

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find angle RND if the intersected arc RD is 66º

RDN

Geometry of Circles - Inscribed Angle from Intersected Arc Worksheet

Mobius Math Club 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 CMX if the intersected arc CX is 50º
a
45º
b
35º
c
d
100º
e
25º
f
2
An svg image showing a math problem
Find angle XPB if the intersected arc XB is 98º
a
54º
b
49º
c
29º
d
64º
e
69º
f
196º
3
An svg image showing a math problem
Find angle YMD if the intersected arc YD is 64º
a
22º
b
128º
c
52º
d
32º
e
27º
f
37º
4
An svg image showing a math problem
Find angle NZD if the intersected arc ND is 96º
a
23º
b
63º
c
53º
d
48º
e
192º
f
28º
5
An svg image showing a math problem
Find angle YCZ if the intersected arc YZ is 94º
a
37º
b
67º
c
47º
d
32º
e
27º
f
188º
6
An svg image showing a math problem
Find angle DPB if the intersected arc DB is 52º
a
26º
b
16º
c
d
21º
e
104º
f
41º
7
An svg image showing a math problem
Find angle MBY if the intersected arc MY is 94º
a
62º
b
188º
c
37º
d
22º
e
47º
f
32º