Question

the measure of an angle is 4 times the measure of its supplementary angle. find the measure of the angle

Answer 1

HEY.....

LOOK....

THE SUM OF SUPPLIMENTORY ANGLES IS 180°.....

LET THE ANGLE BE X....

SO X + ITS SUPPLIMENTORY ANGLE
= 180°.....

BY THE GIVEN CONDITION,

NOW ITS SUPPLEMENTARY ANGLE IS 1/4X

SO X + 1/4X= 180°

MULTIPLY BY 4.....

4X+X= 720

5X= 720

X= 720/5

X=144

SO THE MEASURE OF THAT ANGLE = 144°

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