Note: Problems 3.1–3.3 refer to the diagram below, featuring right triangle XYZ, in which XY = YZ.
3.1 Given in the triangle, explain why both acute angles measure 45°.
All triangles contain three angles whose measures have a sum of 180° = π radians. Apply this geometric theorem to the given triangle by adding the measures of angles X, Y, and Z, and setting the sum equal to 180°.
In this diagram, angle Y is a right angle, ...