The measure of an exterior angle of a triangle is 75 degrees. If one of the non-adjacent interior angles measures 47 degrees, what is the number of degrees in the other non-adjacent interior angle?
One angle is 47 degrees the second angle is 180 - 75 degrees
the third angle will be 180 degrees minus the two angles ......
We can use the exterior angle theorem here
An exterior angle of a triangle = the sum of the measures of the two non-adjacent interior angles
So we have that
75 = 47 + angle we are looking for
28° = angle we are looking for
