**45°–45°–90° Triangles**

*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, ...

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