We can see that the interior angles angles are 24^(∘) and (2x+18)^(∘). 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.
3x+6=24+(2x+18)
We will now solve the above equation for x.
Now we can substitute x= 36 in the expression 3x+6 to find the measure of the angle.
3( 36)+6=114^(∘)
Therefeore, the measure of the exterior angle is 114^(∘).
