The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.
Exterior angles of a triangle
The sum of interior angles is equal to the exterior. From the given figure;
Interior angles are 25 degrees and 52 degrees.
The measure of angle 4 is equal to the sum of the measures of the two nonadjacent interior angles because the angle 4 is exterior to the given interior angles.
2) <4 = 25 + 52
<4 = 77 degrees
Hence the measure of angle 4 is 77 degrees
Learn more on exterior angles here: https://brainly.com/question/2546141
#SPJ1
