This math topic focuses on solving problems related to inscribed triangles in circles, where one side of the triangle is a diameter. Specifically, it involves finding the missing angle of the triangle using properties from circle geometry. Each question presents a triangle with one known angle and requires calculating the second angle, exploiting the theorem that an angle inscribed in a semicircle is a right angle (90 degrees). The topic is suitable for learners at an intermediate level in geometry.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Inscribed Triangle on Diameter - Missing Angle
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find angle NXD in degrees given that NDX is 45º and XD forms a diameter
Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle Worksheet
| Math worksheet on 'Geometry of Circles - Inscribed Triangle on Diameter - Missing Angle (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
| Find angle DMR in degrees given that DRM is 55º and MR forms a diameter |
| 110º |
| 65º |
| 25º |
| 40º |
| 80º |
| 35º |
| Find angle RPC in degrees given that RCP is 45º and PC forms a diameter |
| 30º |
| 105º |
| 120º |
| 60º |
| 0º |
| 45º |
| Find angle RCX in degrees given that RXC is 65º and CX forms a diameter |
| 70º |
| 115º |
| 55º |
| 20º |
| 25º |
| 35º |
| Find angle YCP in degrees given that YPC is 25º and CP forms a diameter |
| 155º |
| 110º |
| 125º |
| 10º |
| 20º |
| 65º |
| Find angle ZNP in degrees given that ZPN is 35º and NP forms a diameter |
| 130º |
| 25º |
| 55º |
| 40º |
| 20º |
| 5º |
| Find angle RYX in degrees given that RXY is 25º and YX forms a diameter |
| 125º |
| 5º |
| 20º |
| 140º |
| 65º |
| 80º |
| Find angle YCD in degrees given that YDC is 55º and CD forms a diameter |
| 110º |
| 20º |
| 125º |
| 40º |
| 35º |
| 95º |