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.
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Tangent Angle
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Find angle XYP in degrees given that BP forms a tangent
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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/ |
| Find angle RDM in degrees given that YM forms a tangent |
| 90º |
| 135º |
| 30º |
| 15º |
| 60º |
| 105º |
| Find angle MNR in degrees given that YR forms a tangent |
| 90º |
| 150º |
| 120º |
| 165º |
| 180º |
| 45º |
| Find angle RNM in degrees given that PM forms a tangent |
| 75º |
| 90º |
| 150º |
| 60º |
| 180º |
| 30º |
| Find angle RBX in degrees given that YX forms a tangent |
| 150º |
| 180º |
| 120º |
| 90º |
| 135º |
| 105º |
| Find angle CNZ in degrees given that YZ forms a tangent |
| 60º |
| 150º |
| 75º |
| 15º |
| 90º |
| 30º |
| Find angle CYR in degrees given that XR forms a tangent |
| 165º |
| 15º |
| 30º |
| 60º |
| 150º |
| 90º |
| Find angle YCX in degrees given that ZX forms a tangent |
| 135º |
| 45º |
| 30º |
| 60º |
| 105º |
| 90º |