Inscribed Angles Subtended by Same Arc with Paired Angle - Missing Angle (Level 1)

This math topic focuses on the geometry of circles, specifically dealing with inscribed angles subtended by the same arc and related problems involving finding missing angles. It includes exercises that apply concepts like angle relationships within circles, enhancing skills in solving circle geometry problems. Each question presents specific angles in the circle setup and requires the calculation of a missing angle based on given measurements and geometric rules, providing a range of multiple-choice answers. This helps build proficiency in handling intermediate-level geometry questions.

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 with Paired Angle - Missing Angle Worksheet

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Geometry of Circles - Inscribed Angles Subtended by Same Arc with Paired Angle - Missing Angle
1
An svg image showing a math problem
Find angle DCR in degrees given that BRC is 27.5º and DBR is 40º
a
100º
b
50º
c
85º
d
70º
e
40º
f
140º
2
An svg image showing a math problem
Find angle BPC in degrees given that BRC is 60º and RCP is 30º
a
b
45º
c
60º
d
120º
e
15º
f
30º
3
An svg image showing a math problem
Find angle MND in degrees given that MYD is 40º and YDN is 25º
a
85º
b
10º
c
d
40º
e
50º
f
55º
4
An svg image showing a math problem
Find angle RPX in degrees given that RCX is 70º and CXP is 22.5º
a
20º
b
160º
c
70º
d
55º
e
145º
f
40º
5
An svg image showing a math problem
Find angle ZNY in degrees given that PYN is 35º and ZPY is 20º
a
20º
b
160º
c
35º
d
70º
e
40º
f
25º
6
An svg image showing a math problem
Find angle NXZ in degrees given that NMZ is 20º and MZX is 27.5º
a
20º
b
25º
c
160º
d
65º
e
40º
f
70º
7
An svg image showing a math problem
Find angle XCR in degrees given that XDR is 20º and DRC is 27.5º
a
20º
b
160º
c
80º
d
70º
e
110º
f
10º
8
An svg image showing a math problem
Find angle NBC in degrees given that NMC is 70º and MCB is 25º
a
110º
b
100º
c
85º
d
70º
e
25º
f
20º