This math topic focuses on the geometry of circles, specifically dealing with problems involving tangent triangles and finding missing angles. The questions provide one angle of a triangle formed by tangents or secants intersecting a circle and require the calculation of another angle within the same configuration. This set of problems falls under the intermediate category of geometry practice. The exercises are designed to enhance the understanding and application of geometric properties related to circles and triangles.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Tangent Triangle with Missing Angle
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Find angle ZCD in degrees given that ZDC is 40º
Geometry of Circles - Tangent Triangle with Missing Angle Worksheet
| Math worksheet on 'Geometry of Circles - Tangent Triangle with Missing Angle (Level 1)'. Part of a broader unit on 'Geometry - Intermediate - Practice' Learn online: app.mobius.academy/math/units/geometry_intermediate_practice/ |
| Find angle MBX in degrees given that MXB is 45º |
| 60º |
| 0º |
| 15º |
| 105º |
| 45º |
| 120º |
| Find angle MDP in degrees given that MPD is 65º |
| 5º |
| 35º |
| 25º |
| 100º |
| 115º |
| 70º |
| Find angle CZX in degrees given that CXZ is 55º |
| 80º |
| 35º |
| 65º |
| 95º |
| 50º |
| 20º |
| Find angle ZCD in degrees given that ZDC is 40º |
| 110º |
| 25º |
| 140º |
| 20º |
| 50º |
| 125º |
| Find angle NCR in degrees given that NRC is 45º |
| 75º |
| 15º |
| 0º |
| 45º |
| 90º |
| 30º |
| Find angle YXP in degrees given that YPX is 40º |
| 110º |
| 65º |
| 5º |
| 95º |
| 50º |
| 20º |
| Find angle ZCB in degrees given that ZBC is 55º |
| 35º |
| 65º |
| 25º |
| 50º |
| 125º |
| 80º |