Answer:
Angle A = 37 degrees, and Angle B = 53 degrees.
Explanation:
We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.
Angle A = 6x + 7
Angle B = 11x-2
Angle C = 90 degrees
A + B + C = 180
Substitute:
6x + 7 + 11x - 2 + 90 = 180
17x + 5 + 90 = 180
17x + 5 = 90
17x = 85
x = 5
Now substitute 5 for x in both acute angles and you will get your answer.
Angle A = 6(5) + 7
Angle A = 30 + 7
Angle A = 37
Angle B = 11(5) - 2
Angle B = 55 - 2
Angle B = 53
Angle A = 37 degrees, and Angle B = 53 degrees.
Hope this helps.