Question

what is an angle that is supplementary to \\(\angle cge\\)?

Explanation:

Identify the target angle and lines

Using the Supplementary Angles and Linear Pair knowledge points

$$ \text{Target angle: } \angle CGE $$

$$ \text{Line containing ray } GE: \text{ Line } EB $$

Find a supplementary angle along line EB

Using the Linear Pair knowledge point

$$ \angle CGE \text{ and } \angle CGB \text{ form a linear pair along line } EB. $$

$$ \angle CGE + \angle CGB = 180^\circ $$

Find an alternative supplementary angle along line FC

Using the Linear Pair knowledge point

$$ \text{Line containing ray } GC: \text{ Line } FC $$

$$ \angle CGE \text{ and } \angle EGF \text{ form a linear pair along line } FC. $$

$$ \angle CGE + \angle EGF = 180^\circ $$

Answer:

What is an angle that is supplementary to \(\angle CGE\)? <blank>\(\angle CGB\)</blank>