Question

Find the measure of angle ZAGE in the figure below. Enter only the number.

The image has three lines that intersect at point G. The line A B passes through points A, G and B. Line C E passes through
points C, G, and E. Line D F passes through points D, G, and F and is perpendicular to line C E at point G. The angle A G C is
labeled 51 degrees.
The solution is

Answer 1

If AGC is 51 degrees, then AGE would be 180 - 51 = 129 degrees. So, the solution is 129.

In the provided geometric configuration with intersecting lines, the angle AGC is given as 51 degrees.

To find the measure of angle AGE, we can employ the concept that angles on a straight line add up to 180 degrees. Since AGC is part of a straight line, angle AGE can be calculated by subtracting AGC from 180.

Therefore, AGE = 180 - 51 = 129 degrees. This result emerges from the supplementary nature of angles formed on a straight line.

Understanding this geometric principle enables us to deduce the measure of AGE without additional information. Thus, in the absence of other specified angles, the measure of angle AGE in the given figure is 129 degrees.