Geometry of Circles - Tangent Angle (Level 1)

This math topic focuses on the Geometry of Circles, specifically exploring how tangent lines interact with angles within circles. It includes multiple problems (seven total), each requiring the calculation of different angles formed when a line tangent to a circle meets another line or segment. Students must determine the values of these angles, given limited information and a diagram for each problem. This type of exercise helps in understanding geometric properties and relationships involving circles, tangents, and angles, suitable for intermediate level students.

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 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/

1

Find angle CXY in degrees given that ZY forms a tangent

a

90º

b

105º

c

150º

d

30º

e

120º

f

60º

2

Find angle NZY in degrees given that XY forms a tangent

a

135º

b

180º

c

90º

d

75º

e

30º

f

60º

3

Find angle BNX in degrees given that RX forms a tangent

a

75º

b

180º

c

90º

d

150º

e

105º

f

165º

4

Find angle MBD in degrees given that PD forms a tangent

a

60º

b

45º

c

165º

d

150º

e

90º

f

135º

5

Find angle YXN in degrees given that MN forms a tangent

a

60º

b

90º

c

15º

d

30º

e

180º

f

105º

6

Find angle ZXY in degrees given that BY forms a tangent

a

90º

b

180º

c

15º

d

150º

e

30º

f

165º

7

Find angle BMN in degrees given that RN forms a tangent

a

90º

b

105º

c

45º

d

75º

e

120º

f

30º