The difference of complementary angles is 10 degree. find the measures of the angles.

40° and 50°

Step-by-step explanation:

90=(x+10)+x

90=2x+10

80=2x

40=x

Therefore the answer is,

40 and 40+10

40° and 50°

50° and 40°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other is x - 10

x + x - 10 = 90

2x - 10 = 90 ( add 10 to both sides )

2x = 100 ( divide both sides by 2 )

x = 50

x - 10 = 50 - 10 = 40

The angle measures are 50° and 40°

(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

step-by-step explanation: