The measure of a complementary angle have a sum of 90° angle and angle B are complementary and their measures have a difference of 20° what are the measures of the angles

ok so we know that
A + B = 90
we also know that
A - B = 20
There are a lot of ways to solve this, but I think elimination will be best
A + B = 90
+ (A - B = 20)
-----------------------
2A = 110
A = 55
Therefore,
B = 90 - 55 = 35