Question 629944
By definition complimentary angles add to 90 degrees.


The compliment of M is equal to (90 deg - M).


90 - M = M + 46 (Given)


44 - M = M (Subtract 46 from both sides)


44 = 2M (Add M to both sides)


22 = M  (Divide both sides by 2)


M = 22 (Answer)