Question

One acute angle of a right triangle is 12 degrees more than twice the other acute angle. Fine the acute angles of the right triangle.

Answer 1

let one acute angle be X and one be Y
X+Y=90  -------Eq.1
2X+12=Y
2X-Y=-12------Eq.2
solving eq 1&2 we get,
3x=78
∴X=26
substituting value X in equation.1
X+Y=90
Y=90-26
∴Y=64
⇒answer:- X=26°
                   Y=64°

Answer 2

The acute angles of the right triangle are x=26°  and y=64°

Let the two acute angles to be x and y

x + y=90..............(i)

2x+12=y

2x-y=-12................(ii)

On solving eq (i) & (ii)  we get,

3x=78

∴x=26

substituting value x in equation (i)

x + y=90

y=90-26

∴y=64

Therefore, the two acute angles of the right triangle are:

x=26°and y=64°

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