Question

The perpendicular bisector of side ab of Δabc intersects side bc at point d. Find the measure of angle abc if the measure of angle cbd is 16 degrees?

Answer 1

The measure of angle ABC is 16 degrees.

Step-by-step explanation:

To find the measure of angle ABC, we need to use the properties of perpendicular bisectors. The perpendicular bisector of side AB intersects side BC at point D. Since CD is the perpendicular bisector, AD must be equal to BD. Hence, triangles ABD and BCD are congruent. Therefore, angle ABC is equal to angle BCD, which is given as 16 degrees.

So, the measure of angle ABC is 16 degrees.