Inscribed Angle from Intersected Arc (Level 2)
This math topic focuses on solving problems related to the geometry of circles, specifically calculating inscribed angles from given intersected arcs. The problems require users to find the measure of an angle based on the degrees of the arc opposite the angle. These exercises are designed for students with intermediate knowledge of geometry and provide a practical application of the Inscribed Angle Theorem, which states that the inscribed angle is half the measure of its intercepted arc. The questions include multiple-choice answers, enhancing the problem-solving skills needed to determine and verify the correct inscribed angle values.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
moreMath worksheet on 'Geometry of Circles - Inscribed Angle from Intersected Arc (Level 2)'. Part of a broader unit on 'Geometry - Intermediate - Intro' Learn online: app.mobius.academy/math/units/geometry_intermediate_intro/ |
Find angle ZDX if the intersected arc ZX is 95º |
37.5º |
27.5º |
67.5º |
190º |
47.5º |
62.5º |
Find angle ZCR if the intersected arc ZR is 69º |
44.5º |
138º |
49.5º |
39.5º |
34.5º |
54.5º |
Find angle ZYX if the intersected arc ZX is 31º |
15.5º |
10.5º |
62º |
30.5º |
25.5º |
20.5º |
Find angle PYB if the intersected arc PB is 55º |
27.5º |
47.5º |
12.5º |
32.5º |
110º |
37.5º |
Find angle DBZ if the intersected arc DZ is 103º |
31.5º |
36.5º |
66.5º |
56.5º |
51.5º |
206º |
Find angle DRM if the intersected arc DM is 89º |
59.5º |
44.5º |
178º |
64.5º |
54.5º |
39.5º |
Find angle NPZ if the intersected arc NZ is 87º |
58.5º |
43.5º |
53.5º |
174º |
28.5º |
38.5º |