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
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find angle NCR in degrees given that NRC is 45º
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 BNX in degrees given that BXN is 25º |
| 65º |
| 80º |
| 10º |
| 140º |
| 20º |
| 5º |
| Find angle DBC in degrees given that DCB is 65º |
| 25º |
| 115º |
| 85º |
| 10º |
| 5º |
| 40º |
| Find angle CZX in degrees given that CXZ is 55º |
| 80º |
| 95º |
| 20º |
| 50º |
| 65º |
| 35º |
| Find angle NPX in degrees given that NXP is 40º |
| 140º |
| 35º |
| 5º |
| 25º |
| 20º |
| 50º |
| Find angle YXP in degrees given that YPX is 40º |
| 110º |
| 95º |
| 50º |
| 5º |
| 20º |
| 65º |
| Find angle DNP in degrees given that DPN is 55º |
| 10º |
| 50º |
| 5º |
| 20º |
| 35º |
| 25º |
| Find angle YPC in degrees given that YCP is 45º |
| 135º |
| 75º |
| 105º |
| 0º |
| 45º |
| 30º |