Question

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complementary, supplementary, vertical angles
f the pairs of angles are supplementary, complementary, or vertical.
culate the measurements of the angles.
∠dab and ∠eac are ______ angles.
∠dab measures ______ °
∠eac and ∠bac are ______ angles.
∠bac measures ______ °
∠bac and ∠dae are ______ angles.
∠dae measures ______ °

Explanation:

Step1: Recall supplementary angles rule

Supplementary angles sum to $180^\circ$.

Step2: Calculate $\angle BAC$

$\angle BAC = 180^\circ - \angle EAC$
Since $\angle EAC = \angle DAB = 43^\circ$, substitute:
$\angle BAC = 180^\circ - 43^\circ = 137^\circ$

Answer:

$\angle DAB$ and $\angle EAC$ are Vertical angles.
$\angle DAB$ measures $43^\circ$
$\angle EAC$ and $\angle BAC$ are Supplementary angles.
$\angle BAC$ measures $137^\circ$
$\angle BAC$ and $\angle DAE$ are Vertical angles.
$\angle DAE$ measures $137^\circ$