If the two acute angles of a right triangle have measures (2x-11) and (x+26) , then what is the value of x

ANSWER



EXPLANATION

The sum of the interior angles of a triangle is


In a right angle triangle, one of the angles is already


Therefore the remaining two acute angle will add up to


This implies that,



We group like terms to get,



This gives us,



This gives,





We divide both sides of the equation by 3 to obtain,