Grades 11-12 Video Solutions 2011-11&12 Video Solutions 2011 problem16

11&12 Video Solutions 2011 problem16

Video Transcription

Video Summary

The video explains how to determine the measure of angle beta in a geometry problem involving a rear windshield wiper with an isosceles triangle configuration. By examining the interactions between line segments and determining perpendicularity using tangents and radius concepts, the solution shows that beta equals \( \frac{\pi}{2} + \gamma \). Solving \( \gamma = \frac{\pi - \alpha}{2} \), where \( \gamma \) is another angle in the triangle, leads to \( \beta = \pi - \frac{\alpha}{2} \). Thus, the correct answer is option B.

Keywords

geometry problem

angle beta

isosceles triangle

perpendicularity

solution