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.
moreGeometry 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 RDP in degrees given that ZP forms a tangent |
a
| 165º |
b
| 90º |
c
| 30º |
d
| 120º |
e
| 105º |
f
| 45º |
2
| Find angle ZMN in degrees given that BN forms a tangent |
a
| 60º |
b
| 75º |
c
| 45º |
d
| 90º |
e
| 180º |
f
| 150º |
3
| Find angle ZDC in degrees given that MC forms a tangent |
a
| 90º |
b
| 165º |
c
| 105º |
d
| 75º |
e
| 120º |
f
| 150º |
4
| Find angle NDP in degrees given that YP forms a tangent |
a
| 180º |
b
| 45º |
c
| 90º |
d
| 15º |
e
| 30º |
f
| 135º |
5
| Find angle CZX in degrees given that RX forms a tangent |
a
| 165º |
b
| 105º |
c
| 60º |
d
| 90º |
e
| 75º |
f
| 180º |
6
| Find angle PNR in degrees given that MR forms a tangent |
a
| 165º |
b
| 30º |
c
| 15º |
d
| 180º |
e
| 105º |
f
| 90º |
7
| Find angle PRM in degrees given that XM forms a tangent |
a
| 90º |
b
| 150º |
c
| 15º |
d
| 165º |
e
| 45º |
f
| 60º |