Answer:
A = 34°
Explanation:
You want the measure of angle A of complementary angles A and B such that A=(5x-11) and B=(6x+2).
Complementary angles
Complementary angles total 90°:
A + B = 90
(5x -11) +(6x +2) = 90
11x = 99 . . . . . . . . . . . . . add 9
x = 9 . . . . . . . . . divide by 11
A = 5x -11 = 5(9) -11 = 34
The measure of angle A is 34°.
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Additional comment
B = 6(9) +2 = 56°, the complement of 34°.