Question

I NEED HELPP!!!!!!!! ASAP!
AB and CD intersect at point O. Find x and y

Answer 1

x = 36°

y = 22°

Explanation:

∠COB = 156

∠AOD = 156 because they are vertically opposite

156 = y + 54 + x + 2y

156 = 90 + 3y

66 = 3y

y = 22

Answer 2

`\sf\\(i)\ \angle FOG+\angle EOF=\angle EOG\ \ \ [\textsf{Whole part axiom}]\\or,\ x+54^o=90^o\\or,\ x=36^o`

`\sf\\(ii)\ \angle BOC+\angle AOC=180^o\ \ \ [\textsf{Sum of angles in straight line is }180^o.]\\or,\ 156^o+\angle AOC=180^o\\or,\ \angle AOC=24^o`

`\sf\\(iii)\ \angle AOC+\angle AOE+\angle EOG+\angle GOD=180^o\ \ \ [\textsf{Sum of angles in straight line}\\\textsf{}\ \ \ \ \ \textsf{ is }180^o.]\\or,\ 24^o+y+90^o+2y=180^o\\or,\ 3y+114^o=180^o\\or,\ 3y=66^o\\or,\ y=22^o`