Find the missing angle x=??

x=60°

Step-by-step explanation:

To find the missing angle x

AGE=30°

So AGE=FGC (vertically opposite angles are equal)

FGC=30°

Angle G=90°

AGB=G(vertically opposite angles are equal)

AGB=90°

To find x

AGE+AGB+x=180° angles on a straight line

30°+90°+x=180°

x=180°-120°

x=60°

60

Step-by-step explanation:

There's a theorem that states that vertical angles are congruent.

Congruent means that they are always the same number of degrees.

Vertical angles are angles that are across from one another.

So we know that a line is 180 degrees. This allows us to deduce that angle DGA is 90 degrees. (180-90) sinc since CDG is 90 degreesn

Next, we can find DGE. We do this with (90-30=60) DGE  is 60 degrees.

Because DGE and angle x are vertical angles, they are congruent.

Therefore, angle x is 60 degrees.

boxplot