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: Identify supplementary angles

Points A, B, C are colinear, so $\angle ABC = 180^\circ$. $\angle CBD$ and $\angle ABD$ are supplementary, so $\angle ABD + \angle CBD = 180^\circ$.

Step2: Calculate $\angle ABD$

Given $\angle CBD = 140^\circ$, substitute into the equation: $\angle ABD = 180^\circ - 140^\circ$.
$\angle ABD = 40^\circ$

Answer:

40° (corresponding to the option: 40°)