Точки A и C расположены по одну сторону от прямой к которой от обеих точек проведены перпендикулярно AB и CD равной длины определи величину угла ABC если ABD=89°

To find the measure of angle ABC, we need to use the given information that ABD is 89° and AB = CD.

Knowing that AB and CD are equal in length and perpendicular to the same line, we can conclude that triangle ABD and triangle CBD are congruent.

Therefore, angle ABD is equal to angle CBD, which means that angle CBD is also 89°. Since angle ABC is the sum of angles ABD and CBD, we can calculate it as follows:

Angle ABC = angle ABD + angle CBD = 89° + 89° = 178°.

Thus, the measure of angle ABC is 178°.