What is the measure of angle ABD on trapezoid ABCD?

Solution:

Given, the figure represents a trapezoid ABCD.

We have to find the measure of angle ABD.

From the figure,

Sides AB and CD are parallel

Sides BC and AD are parallel

Angle A = 116°

Angle B = Angle ABD + Angle DBC

= 24° + x°

From the properties of isosceles trapezoid,

The adjacent angles are supplementary.

So, ∠A + ∠B = 180°

116° + 24° + x = 180°

140° + x = 180°

x = 180° - 140°

x = 40°

Therefore, the measure of angle ABD is 40°.

What is the measure of angle ABD on trapezoid ABCD?

Summary:

The measure of angle ABD on trapezoid ABCD is 40°