We can see that the interior angles are x^(∘) and 45^(∘). According to the Exterior Angle Theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. This allows us to write an equation.
2x-2=x+45
We will now solve the above equation for x.
Now we can substitute x= 47 in the expression 2x-2 to find the measure of the angle.
2( 47)-2=92^(∘)
Therefore, the measure of the exterior angle is 92^(∘).
