Find the related angle for 245°.
A)65°
B)0°
C)25°
D)180°

Question

Quizplus · Accepted Answer

The related angle for any angle θ in standard position is found by calculating |360° - θ| or |180° - θ|, depending on the context. For 245°, the related angle in the context of a circle (360°) is |360° - 245°| = 115°. However, none of the options match this calculation directly. Given the options, the correct approach to find a related angle is to consider the angle's supplement in the context of a 360° circle, which means finding the difference from 360° or 180° to get a positive acute angle. Since 245° is in the third quadrant, its related angle in the first quadrant (which is what the question seems to be asking for, given the options) would be 360° - 245° = 115°. However, this answer is not listed among the options, suggesting a misunderstanding of the question's intent or a mistake in the calculation based on the provided options. The correct approach to finding a related angle that matches the options would involve considering angles in different contexts, such as coterminal angles or angles in standard position, but with the given options and typical definitions, none directly relate to 245° in a straightforward manner. Given the misunderstanding in my initial explanation, the correct answer based on standard geometric relationships and the typical method of finding related angles (none of which directly apply to the options given) would be to reconsider how these options might be interpreted in relation to 245°, potentially considering alternative definitions or contexts not provided in the question.

Find the Related Angle for 245°