Question

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?

Answer 1

The answers are: 90° , 40°, and 50° .
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Step-by-step 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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