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 DCR in degrees given that BRC is 27.5º and DBR is 40º

a

40º

b

100º

c

50º

d

140º

e

70º

f

85º

2

Find angle YDC in degrees given that YPC is 60º and PCD is 25º

a

75º

b

120º

c

60º

d

30º

e

15º

f

150º

3

Find angle RMP in degrees given that DPM is 27.5º and RDP is 40º

a

55º

b

40º

c

5º

d

35º

e

140º

f

130º

4

Find angle NRC in degrees given that NYC is 30º and YCR is 27.5º

a

30º

b

105º

c

60º

d

0º

e

15º

f

45º

5

Find angle ZMD in degrees given that ZBD is 30º and BDM is 32.5º

a

15º

b

0º

c

60º

d

45º

e

150º

f

30º

6

Find angle ZNY in degrees given that PYN is 35º and ZPY is 20º

a

25º

b

35º

c

70º

d

40º

e

20º

f

160º

7

Find angle NXZ in degrees given that NMZ is 20º and MZX is 27.5º

a

25º

b

40º

c

70º

d

20º

e

160º

f

65º