Geometry of Circles - 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.

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

Math worksheet on 'Geometry of Circles - Inscribed Angles Subtended by Same Arc with Paired Angle - Missing Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/

1

Find angle YMR in degrees given that XRM is 25º and YXR is 20º

a

5º

b

20º

c

110º

d

10º

e

35º

f

70º

2

Find angle YDX in degrees given that PXD is 32.5º and YPX is 70º

a

160º

b

55º

c

70º

d

85º

e

20º

f

5º

3

Find angle BPC in degrees given that BRC is 60º and RCP is 30º

a

45º

b

30º

c

0º

d

60º

e

15º

f

120º

4

Find angle PDR in degrees given that NRD is 30º and PNR is 40º

a

10º

b

140º

c

70º

d

40º

e

50º

f

130º

5

Find angle NBC in degrees given that NMC is 70º and MCB is 25º

a

110º

b

85º

c

25º

d

100º

e

20º

f

70º

6

Find angle YXR in degrees given that YBR is 30º and BRX is 25º

a

75º

b

30º

c

60º

d

45º

e

90º

f

15º

7

Find angle ZYM in degrees given that ZBM is 30º and BMY is 32.5º

a

30º

b

60º

c

150º

d

45º

e

105º

f

120º