Question

Use the diagram to find the measures of each angle. Explain your reasoning.

А
E
B
С
50°
D

Answer 1

angle ABC is 130 degrees

Explanation:

This is the quickest and simplest way to gind the answer.

Angle CBD and angle ABC are linear pairs. Linear pairs are supplementary meaning angle CBD and angle ABC equal 180 degrees. Since angle CBD is 50 degrees and you know both angles need to add up to 180 degrees all you need to do is subtract 180 from 50 degrees.