This question was uploaded on 29/10/21 on social media accounts.
Square in a semicircle such that one line can pass through one end of diameter and two opposite edges of the square. One edge of the square is on the origin and one on the semicircle.
Solution:
Purple triangle is an equilateral triangle.
By inscribed angle theorem:
\[x=\frac{60+45}2=\frac{105}2=72.5\]
Puzzle related to Geometry, Circle, Square, Angle.