This math topic focuses on finding missing angles in geometric figures involved with circles, specifically addressing inscribed angles subtended by the same arc. It practices identifying the relationship between different angles within a circle and calculating their measurements based on given angle values. Each problem provides a different setup with a specific angle known, asking to determine another angle in the configuration using geometric principles related to circle properties. The topic helps deepen understanding of circle geometry at an intermediate level, suitable for building problem-solving skills in geometry.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Inscribed Angles Subtended by Same Arc - Missing Angle
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find angle NXP in degrees given that NZP is 50º
Geometry of Circles - Inscribed Angles Subtended by Same Arc - Missing Angle Worksheet
| Math worksheet on 'Geometry of Circles - Inscribed Angles Subtended by Same Arc - 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 ZMC in degrees given that ZPC is 50º |
| 130º |
| 80º |
| 65º |
| 40º |
| 50º |
| 110º |
| Find angle RPZ in degrees given that RXZ is 20º |
| 70º |
| 55º |
| 50º |
| 65º |
| 20º |
| 160º |
| Find angle NPM in degrees given that NBM is 30º |
| 0º |
| 30º |
| 45º |
| 150º |
| 75º |
| 60º |
| Find angle XYM in degrees given that XRM is 60º |
| 60º |
| 105º |
| 45º |
| 120º |
| 150º |
| 30º |
| Find angle NCY in degrees given that NZY is 30º |
| 90º |
| 45º |
| 60º |
| 30º |
| 150º |
| 105º |
| Find angle NPD in degrees given that NMD is 50º |
| 110º |
| 25º |
| 140º |
| 80º |
| 40º |
| 50º |
| Find angle DMP in degrees given that DCP is 30º |
| 150º |
| 90º |
| 60º |
| 105º |
| 30º |
| 75º |