An angle measures 58.4° more than the measure of its complementary angle what is the measure of each angle?

15.8

74.2

Step-by-step explanation:

Call the two angles A and B

A = B + 58.4              Substitute for A

A + B =90

B + 58.4 + B = 90      Combine like terms  

2B + 58.4 = 90          Subtract 58.4

2B = 90 - 58.4

2B = 31.6                    Divide by 2

B = 15.8

A = 15.8 + 58.4           Fin A

A = 74.2

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

answer: it is d

step-by-step explanation: