Inscribed Angles Subtended by Same Arc - Missing Angle (Level 2)

This math topic focuses on the geometry of circles, specifically on calculating inscribed angles that are subtended by the same arc. The problems involve determining unknown angles given one angle measurement and the geometric configuration in circle diagrams. Each question presents a different configuration involving points on the circumference of a circle, requiring the application of principles related to inscribed angles and arcs to find the missing angle. There are multiple-choice answers provided for each question to select from. This topic is suitable for intermediate-level geometry practice.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle Worksheet

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Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle
1
An svg image showing a math problem
Find angle RDM in degrees given that RZM is 25º
a
50º
b
85º
c
65º
d
155º
e
10º
f
25º
2
An svg image showing a math problem
Find angle YRM in degrees given that YDM is 25º
a
20º
b
25º
c
d
70º
e
65º
f
55º
3
An svg image showing a math problem
Find angle XCP in degrees given that XNP is 65º
a
65º
b
25º
c
80º
d
95º
e
10º
f
125º
4
An svg image showing a math problem
Find angle XRD in degrees given that XYD is 65º
a
115º
b
140º
c
155º
d
65º
e
50º
f
95º
5
An svg image showing a math problem
Find angle MXN in degrees given that MYN is 55º
a
40º
b
25º
c
125º
d
115º
e
35º
f
55º
6
An svg image showing a math problem
Find angle NZR in degrees given that NBR is 35º
a
125º
b
145º
c
35º
d
55º
e
10º
f
50º
7
An svg image showing a math problem
Find angle RYB in degrees given that RXB is 35º
a
20º
b
55º
c
35º
d
25º
e
65º
f
10º
8
An svg image showing a math problem
Find angle XYR in degrees given that XZR is 45º
a
45º
b
135º
c
15º
d
120º
e
90º
f
75º