correct answer of tringle x is 101° 25'.
the law of sines. The law of sines states that the ratio of the sine of an angle to the opposite side is equal to the ratio of the sine of any other angle to the opposite side of that angle.
In the triangle given in the image, we have:
∠A = 109° 5'
∠B = 70° 14'
∠C = x
AB = 7 cm
AC = 8 cm
We want to find x, so we can use the following equation:
sin(∠C) / AC = sin(∠A) / AB
Substituting in the known values, we get:
sin(x) / 8 = sin(109° 5') / 7
Solving for sin(x), we get:
sin(x) = (sin(109° 5') / 7) * 8
sin(x) = 0.9816
Taking the inverse sine of both sides, we get:
x = arcsin(0.9816)
x = 101° 25'
Therefore, the answer is x = 101° 25'.