### Home > CC3 > Chapter 9 > Lesson 9.1.3 > Problem 9-34

9-34.

In each angle problem below, solve for the variable(s). Write the names of the definition(s) and relationship(s) that justify the steps in your solution. Homework Help ✎

a.

b.

c.

132 + (2*x* + 3) = 180

The angle measuring 131° is an exterior angle to the triangle.

*d* + 131 = 180

*d* = 49°

*d* + *e* + 90 = 180

or

131 = *e* + 90

*e* = 41°

An exterior angle is equal to the sum of the remote interior angles.