Question

In the figure, angle 4 is an exterior angle to angle AUL.

Answer 1

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: brainly.com/question/2546141

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