Question
Define complementary angles.

Answer

Complementary Angles: Two angles, the sum of whose measures is $90^{\circ}$, are called complementary angles. Thus, angles $\angle BAX$ and $\angle XAC$ are complementary angles. If $x + y =90^{\circ}$

Example 1: Angles of measure $50^{\circ}$ and $40^{\circ}$ are complementary angles, because $50^{\circ}+40^{\circ}=90^{\circ}$ Example 2: Angles of measure $60^{\circ}$ and $30^{\circ}$ are complementary angles, because $60^{\circ}+30^{\circ}=90^{\circ}$

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