Exercise 16 Page 116

We are given a triangle and asked to find the measure of the exterior angle.

To do so, let's recall the Exterior Angle Measures of a Triangle Theorem.

We will now identify the exterior angle and the two nonadjacent interior angles.

We can see that the measure of the exterior angle is k^(∘) and the measures of the nonadjacent interior angles are 64^(∘) and 76^(∘). By the Exterior Angle Measures of a Triangle Theorem, we can write an equation in terms of k. k^(∘)= 64^(∘)+ 76^(∘) Let's solve the equation! For simplicity, we will not write the degree symbol while solving.

The measure of the exterior angle is 140^(∘).