Angles A and B are complementary angles. If the measure of angle A is 4343° more than the measure of angle B, find the measures of the two angles.
Solution: A=66.5 degrees and B=23.5 degrees.
Complementary angles add up to 90 degrees so:
But it is given that angle A is 43 degrees more than angle B:
So substituting B+43 for A:
Now substitute 23.5 for B in A=B+43:
The solution can be double-checked by adding A and B to see if it equals 90 degrees: