Respuesta :
Answer:
A = 47° and B = 43°
Step-by-step explanation:
Express angle A in terms of angle B, that is
A = B + 4
Complementary angles sum to 90°, hence
A + B = 90, that is
B + 4 + B = 90
2B + 4 = 90 ( subtract 4 from both sides )
2B = 86 ( divide both sides by 2 )
B = 43
Hence
∠B = 43° and ∠A = B + 4 = 43 + 4 = 47°
Answer:
A= 47°
B= 43°
Explanation:
A complementary angle is a 90° angle.
If A+B= 90 and B+4= A, we can rewrite it as...
B+4+B= 90
→ 2B+4= 90
→ 2B= 86
→ B= 43
Then we go back to the equation A+B= 90 and plug in B as 43...
A+43= 90
→ A= 47
