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.

What is mABC 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 class=

Respuesta :

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°

Answer:

C m<ABC=60

Step-by-step explanation:

It’s C

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