**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.**

**Answer:**

Solution: A=66.5 degrees and B=23.5 degrees.

Explanation:

Complementary angles add up to 90 degrees so:

A+B=90

But it is given that angle A is 43 degrees more than angle B:

A=B+43

So substituting B+43 for A:

(B+43)+B=90

2B+43=90

2B=47

B=23.5 degrees.

Now substitute 23.5 for B in A=B+43:

A=23.5+43

A=66.5 degrees.

The solution can be double-checked by adding A and B to see if it equals 90 degrees:

66.5+23.5=90 degrees.