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If the measures of the acute angles of a right triangle are 3x + 4 degrees and 4x + 2 degrees, what are the measures of all three angles of the right triangle?

Respuesta :

JonHenderson55
The answers are:  90° , 40°, and 50° .
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Explanation:
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Angle 1 = 90 .

Angle 2 = 3x + 4

Angle 3 = 4x + 2
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Since all angles in every triangle add up to 180 ; 

90 + 3x + 4 + 4x + 2 = 180 ;  Solve for "x" ;  then solve for "angle 2" and "angle 3".  Since it is a "right triangle" ; we know that "angle 1" = 90 degrees.

7x + 96 = 180 ;

Subtract "96" from each side of the equation;

7x + 96 - 96 = 180 - 96 ;

7x  = 84 ;   Divide each side of the equation by "7" ;

7x / 7 = 84 / 7 ;

x = 12:

So;  angle 1 = 90 ;

Angle 2 = 3x + 4 = 3(12) + 4 = 36 + 4 = 40 ;

Angle 3 = 4x + 2 = 4(12) + 2 = 48 + 2 = 50 ;
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 90 + 40 + 50 =? 180 ?  Yes! 
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