Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem27

Levels 9&10 Video Solutions 2014 problem27

Video Transcription

Video Summary

In this geometry problem, we need to calculate the measure of angle TSP, with PT being tangent to circle C and PS bisecting angle TPR. By examining the relationships between various arcs and angles, the measure of angle TSP is established based on arcs XR and TY. Through calculation, using properties of bisected angles and arc relationships, it is determined that twice the measure of angle TSP equals \( \pi/2 \). Solving further, the measure of angle TSP equates to \( \pi/4 \), translating to 45 degrees, which corresponds to answer choice B.

Keywords

geometry

angle TSP

circle tangent

arc relationships

angle bisector