Grades 9-10 Video Solutions 2025-2025_9-10

Video Transcription

Video Summary

In the problem, Alex folds a square into a triangle and then refolds to create another triangle. The goal is to determine the measure of angle AXC. Initially, angles within the square-turned-isosceles triangle ABC are analyzed, establishing that angles CAB and ACB are each 45 degrees. Through folding, angles ACX and XCB are found to be equal and together add up to 45 degrees, making each 22.5 degrees. In triangle AXC, with angles CAX at 45 degrees and ACX at 22.5 degrees, angle AXC is calculated to be 112.5 degrees. Thus, the measure of angle AXC is 112.5 degrees.

Keywords

square folding

triangle angles

isosceles triangle

angle calculation

geometry problem