Geometry of Circles - Tangent Angle (Level 2)

This math topic focuses on the geometry of circles, specifically involving calculations related to tangent angles. It offers intermediate-level practice on angles formed by tangents to circles. The problems require students to find the values of specific angles when a line segment forms a tangent to a circle, using given multiple-choice answers. Each question provides an image illustrating the geometric setup and a set of potential angles as answers. This set of problems enhances the understanding of the properties and relations of tangents to a circle in geometric configurations.

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

Geometry of Circles - Tangent Angle Worksheet

Math worksheet on 'Geometry of Circles - Tangent Angle (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/

1

Find angle RDM in degrees given that YM forms a tangent

a

90º

b

135º

c

30º

d

15º

e

60º

f

105º

2

Find angle MNR in degrees given that YR forms a tangent

a

90º

b

150º

c

120º

d

165º

e

180º

f

45º

3

Find angle RNM in degrees given that PM forms a tangent

a

75º

b

90º

c

150º

d

60º

e

180º

f

30º

4

Find angle RBX in degrees given that YX forms a tangent

a

150º

b

180º

c

120º

d

90º

e

135º

f

105º

5

Find angle CNZ in degrees given that YZ forms a tangent

a

60º

b

150º

c

75º

d

15º

e

90º

f

30º

6

Find angle CYR in degrees given that XR forms a tangent

a

165º

b

15º

c

30º

d

60º

e

150º

f

90º

7

Find angle YCX in degrees given that ZX forms a tangent

a

135º

b

45º

c

30º

d

60º

e

105º

f

90º