Question
Define supplementary angles.
✓
Answer
supplementary Angles: Two angles, the sum of whose measures is $180^\circ $, are called suppplementary angles.
Thus,
angles $\angle\text{BAC}$ and $\angle\text{DAC}$ are aupplementary angles.
If $x + y = 180^\circ $.
Example $1$: Angles of measure $50^\circ$ and $130^\circ $ are supplementary angles, because
$50^\circ + 130^\circ = 180^\circ $
Example $2$: Angles of measure $60^\circ$ and $120^\circ $ are supplementary angles, because
$60^\circ + 120^\circ = 180^\circ $
Thus,
angles $\angle\text{BAC}$ and $\angle\text{DAC}$ are aupplementary angles.
If $x + y = 180^\circ $.
Example $1$: Angles of measure $50^\circ$ and $130^\circ $ are supplementary angles, because
$50^\circ + 130^\circ = 180^\circ $
Example $2$: Angles of measure $60^\circ$ and $120^\circ $ are supplementary angles, because
$60^\circ + 120^\circ = 180^\circ $
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