Mhanifa please help! This is due soon and I dont want to fail

#1

Sum of interior angles is 180:

y = 180 - (42 + 31) = 107

The law of sines:

x / sin 107 = 11 / sin 42x = 11 sin 107deg / sin 42deg x = 15.72

#2

The law of cosines:

cos 76  = (6² + 17² - x² )/2(6)(17)204*0.24 = 325 - x²x² = 325 - 48.96x² = 276.04x = √276.04x = 16.61

#3

Same as above:

2*9.4*10*cos 20 = (10² + 9.4² - x²)176.66 = 188.36 - x²x² = 188.36 - 176.66 x² = 11.7x = √11.7x = 3.42

#4

Sum of interior angles is 180:

y = 180 - (52 + 94) = 34

The law of sines:

x / sin 34 = 15 / sin 94x = 15 sin 34  / sin 94 x = 8.41