Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.

∠ABC = 100°

∠ADF = 100°

Step-by-step explanation:

(8x + 4)° = (10x - 20)°

(2x)° = 24°

x = 12°

Compute, knowing that x = 12°

8x + 4 = 8 · 12 + 4 = 100°

10x - 20 = 10 · 12 - 20 = 100°

(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

36

step-by-step explanation: