Angles A and B are complementary angles. If the measure of angle A is 4343​° more than the measure of angle​ B

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#1

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.