Question

Lines AB and CD are straight lines. Find x and y .

Answer 1

⇒ ∠AOC+∠AOE+∠EOD=180°(angles on a straight line are supplementary)

16°+90°+2y=180°

`106+2y=180\\2y=180-106\\2y=74\\(2y)/(2) =(74)/(2) \\y=37`

∴y=37°

∠AOC+∠COF∠BOF=180°(angles on a straight line are supplementary)

16°+90°+4x=180

`106+4x=180\\4x=180-106\\4x=74\\(4x)/(4) =(74)/(4) \\x=18.5`

∴x=18.5°