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 DMR if the intersected arc DR is 99º |
198º |
59.5º |
49.5º |
44.5º |
39.5º |
34.5º |
Find angle ZDP if the intersected arc ZP is 83º |
41.5º |
51.5º |
61.5º |
166º |
21.5º |
46.5º |
Find angle CYB if the intersected arc CB is 81º |
30.5º |
55.5º |
40.5º |
35.5º |
60.5º |
162º |
Find angle ZRB if the intersected arc ZB is 35º |
32.5º |
70º |
22.5º |
17.5º |
2.5º |
12.5º |
Find angle PYR if the intersected arc PR is 33º |
21.5º |
66º |
11.5º |
3.5º |
16.5º |
31.5º |
Find angle CRM if the intersected arc CM is 39º |
39.5º |
78º |
14.5º |
19.5º |
0.5º |
24.5º |
Find angle PRY if the intersected arc PY is 65º |
42.5º |
130º |
22.5º |
17.5º |
32.5º |
12.5º |