the measure of an angle is 12 less than 3 times the measure of its supplement
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Answered by
4
let angles be X and 3x-12.
Therefore, X+(3x-12)=180 (Angles are supplement)
4x-12=180
4x=192
X=192/4
X=48
THE angles are 48 and 132
Therefore, X+(3x-12)=180 (Angles are supplement)
4x-12=180
4x=192
X=192/4
X=48
THE angles are 48 and 132
Answered by
6
THANKS FOR THE QUESTION !
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GIVEN :
=> MEASURE OF AN ANGLE :
=> 12° LESS THAN 3 TIMES ITS SUPPLEMENTARY ANGLE
_______________________________
TO FIND :
=> THE ANGLE
_______________________________
USING THE PRINCIPLE :
=> THE SUM OF MEASURE OF AN ANGLE AND ITS SUPPLEMENTARY ANGLE IS 180°
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LET,
=> THE ANGLE BE :
=> X°
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=> SUPPLEMENTARY ANGLE OF THIS ANGLE :
=> 180° - X°
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ACCORDING TO PRINCIPLE AND GIVEN CONDITION :
=> X = 3 ( 180 - X ) ° - 12°
=> X = 540 - 3X - 12°
=> X + 3X = 540 - 12°
=> 4X ° = 528
=> X = 528 / 4
=> X = 132°
______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .......
_______________________________
_______________________________
GIVEN :
=> MEASURE OF AN ANGLE :
=> 12° LESS THAN 3 TIMES ITS SUPPLEMENTARY ANGLE
_______________________________
TO FIND :
=> THE ANGLE
_______________________________
USING THE PRINCIPLE :
=> THE SUM OF MEASURE OF AN ANGLE AND ITS SUPPLEMENTARY ANGLE IS 180°
_______________________________
LET,
=> THE ANGLE BE :
=> X°
_______________________________
=> SUPPLEMENTARY ANGLE OF THIS ANGLE :
=> 180° - X°
_______________________________
ACCORDING TO PRINCIPLE AND GIVEN CONDITION :
=> X = 3 ( 180 - X ) ° - 12°
=> X = 540 - 3X - 12°
=> X + 3X = 540 - 12°
=> 4X ° = 528
=> X = 528 / 4
=> X = 132°
______________________________
HOPE IT WILL HELP U ......
THANKS AGAIN .......
_______________________________
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