ANSWER
[tex]x = 25 \degree[/tex]
EXPLANATION
The sum of the interior angles of a triangle is
[tex]180 \degree.[/tex]
In a right angle triangle, one of the angles is already
[tex]90 \degree.[/tex]
Therefore the remaining two acute angle will add up to
[tex]90 \degree.[/tex]
This implies that,
[tex](2x - 11) + (x + 26) = 90 \degree[/tex]
We group like terms to get,
[tex]2x + x + 26 - 11 = 90[/tex]
This gives us,
[tex]3x + 15 = 90[/tex]
This gives,
[tex]3x = 90 - 15[/tex]
[tex]3x = 75[/tex]
We divide both sides of the equation by 3 to obtain,
[tex]x = 25 \degree[/tex]
