The measure of the acute angles are 37 and 53 degrees
The sum of an interior angle of a triangle is 90 degrees
Taking the sum of the interior angle of the given triangle:
11x - 2 + 6x + 7 + 90 = 180
17x + 95 = 180
17x = 180 - 95
17x = 85
x = 5
6x + 7 = 6(5) + 7 = 37 degrees
11x - 2 = 11(5) - 2 = 53 degrees
Therefore the measure of the acute angles are 37 and 53 degrees
Learn more on triangles here: https://brainly.com/question/7888180
