Question

points a, b, and c are on line ac angle cbd has a measure of 140°. what is the measure of angle abd? 40° 50° 60° 70°

Explanation:

Step1: Recall the property of a straight - line angle

Angles on a straight line sum to \(180^{\circ}\). So, \(\angle ABD+\angle CBD = 180^{\circ}\).

Step2: Solve for \(\angle ABD\)

Given \(\angle CBD=140^{\circ}\), substitute into the equation \(\angle ABD + 140^{\circ}=180^{\circ}\). Then \(\angle ABD=180^{\circ}- 140^{\circ}\).

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Answer:

A. \(40^{\circ}\)