What is m∠ABC? The measure of angle ABC = 60 degrees The measure of angle ABC = 15 degrees The measure of angle ABC = 45 degrees The measure of angle ABC =75 degrees.
Answer:
The measure of angle ABC is 60 degrees
Step-by-step explanation:
Let
x -----> the measure of angle ABC
we know that
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
so
In this problem
[tex]x+75\°=135\°[/tex]
Solve for x
Subtract 75 both sides
[tex]x=135\°-75\°=60\°[/tex]
therefore
The measure of angle ABC is 60°