Question

find angle AOE and AOC.

Answer 1

angle COF = EOD ( By vertically opposite angle.)

so AB is a line for 180 degree by linear pair.

2x+x+90 = 180
3x = 180-90

3x = 90

x = 90/3

x = 30 degree

so angle AOE = 2×30 = 60 degree

Angle AOC =
30 +90 + AOC = 180

AOC = 180-120

AOC = 60 DEGREE