X°,Y° and Z° are three angles lying on a straight line.If X°=2y° and Z°=3y°,find he value of y

1 answer:

maks197457 [2]4 years ago

7 0

Answer: " y = 30° " .
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<u>Note</u>: The sum total of the measure of all angles lying on a straight
             line is 180°.

So;   x + y + z = 180 .

Given:    x = 2y ;
              z  = 3y ;
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Find the value of: " y " ;
_______________________
Since:   x + y + z = 180 ;

Substitute: "2y" for "x" ;
          and: "3y" for "z" ;
_______________________
       2y + y + 3y = 180 ;

                6y = 180 ;
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Divide EACH SIDE of the equation by "6" ; to isolate "y" on one side of the equation; and to solve for "y" ;
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       6y/ 6 = 180 / 6 ;

             y = 30 ;
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Let us check our work;
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     2y + y + 3y = 180 ;

Substitute our solved value: "30" ; for "y" ; in the equation; to see if the equation holds true:
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2(30) + 30 + 3(30)  =? 180 ?
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   60  + 30 + 90 = ? 180 ?
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             90 + 90 = ? 180 ? Yes!
____________________________

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