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

Lines AB and CD are straight lines. Find x and y .-example-1

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⇒ ∠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°

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