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5 multiple choice 1 point what is the measure of ∠abd? 60° 140° 160° 40°

Question

5 multiple choice 1 point what is the measure of ∠abd? 60° 140° 160° 40°

Explanation:

Step1: Recall linear - pair property

Angles on a straight - line sum to 180°. $\angle CBA = 180^{\circ}$.

Step2: Identify known angles

We know that $\angle CBD=40^{\circ}$.

Step3: Calculate $\angle ABD$

$\angle ABD=\angle CBA-\angle CBD$. Since $\angle CBA = 180^{\circ}$ and $\angle CBD = 40^{\circ}$, then $\angle ABD=180 - 40=140^{\circ}$.

Answer:

$140^{\circ}$