The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
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.
