what is the measure of angle abd in trapezoid abcd? 24° 40° 64° 92°

Explanation:

Step1: Recall angle - sum property of triangle

In triangle ABD, we know that the sum of interior angles of a triangle is 180°.

Step2: Identify known angles

We are given that in triangle ABD, one angle is 116° and another part of the angle at B in the trapezoid is 24°. Let angle ABD be (x).

Step3: Calculate angle ABD

We know that (x + 116^{\circ}=180^{\circ}- 24^{\circ}). First, (180 - 24=156^{\circ}). Then (x=156^{\circ}-116^{\circ}). So (x = 40^{\circ}).

Answer:

40°