Question
Define supplementary angles.

Answer

supplementary Angles: Two angles, the sum of whose measures is 180°, are called suppplementary angles.
Thus,
angles $\angle\text{BAC}$ and $\angle\text{DAC}$ are aupplementary angles.
If x + y = 180°

Example 1: Angles of measure 50° and 130° are supplementary angles, because
50° + 130° = 180°
Example 2: Angles of measure 60° and 120° are supplementary angles, because
60° + 120° = 180°

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