Question 1057253
Since the sum of the angles must be 90 degrees, you can write the following equation:


(7x + 17) + (3x - 22) = 90


Collecting and combining like terms on the left gives:


10x - 5 = 90


Adding 5 to both sides then gives:


10x = 95


And dividing both sides by 10 leaves:


x = 9.5


Now, substitute x = 9.5 into the expression for each angle:


First angle: 7(9.5) + 17 = 83.5 degrees


Second angle: 3(9.5) - 22 = 6.5 degrees


As a check, add the angles together and make sure that the sum is 90:


83.5 + 6.5 = 90


90 = 90


so the solution checks.