Question

Find the measure of angle < AGE 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

The sum of angles on a straight line is 180°.

Therefore,

`\angle AGE+\angle AGC=180^0`

Given,

`\angle AGC=51^0`

Hence,

`\begin{gathered} \angle AGE+51^0=180^0 \\ \angle AGE=180^0-51^0 \\ \angle AGE=129^0 \end{gathered}`