# SOLUTION: Directions: find the measure of the given angles. An angle whose supplement is 3 times the measure of its complement.

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 Question 18322: Directions: find the measure of the given angles. An angle whose supplement is 3 times the measure of its complement.Found 2 solutions by venugopalramana, Ms Ladii:Answer by venugopalramana(3286)   (Show Source): You can put this solution on YOUR website!let the angle =x its complement =90-x three times the complement =3*(90-x)=270-3x its supplement = 180-x so 180-x=270-3x 3x-x=270-180=90 2x=90 x=90/2=45 so the angle is 45 degrees Answer by Ms Ladii(3)   (Show Source): You can put this solution on YOUR website!1.) WRITE A LET STATMENT: LET THE ANGLE =x ITS COMPLEMENT =90-x THREE TIMES ITS COMPLEMENT =3*(90-x)=270-3x ITS SUPPLEMENT = 180-x ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 180-x=270-3x 3x-x=270-180=90 2x=90 x=90/2=45 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ THEREFORE THE ANGLE IS 45 DEGREES