Pls help no wrong answers

value of x = 60°

Step-by-step explanation:

here's the solution,

=》the angle adjacent to x° and FGC = 30°

since, it forms vertical opposite angle pair with AGE , which are equal.

and now,

we have CGD = 90° ( given )

so, sum of all angles on a straight line measures 180° ( linear pair )

hence,

=》x° + 90° + 30° = 180°

=》x° + 120° = 180°

=》x° = 180° - 120°

=》x° = 60°

angle dgc=90°

angle age=30°

to find=x

angle dgc=angle agb(by vertical opposite angle)

ege is a straight line.

angle age+angle agb+angle bgf=180°[straight line measure 180°]

30°+ 90°+x=180°

120°+x=180°

x=180°-120°

x=60°

the answers are in the images, i received 100% on this assignment. hope this !