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°