Question

Find the number that belongs

in the green box.

Round your answer to the nearest tenth.

Answer 1

Explanation:

The unknown angle.

Start by finding the third angle. Call it x.

x + 125 + 32 = 180

x + 157 = 180

x = 180 - 157

x = 23

Now you are set to use the law of sines.

Call ? = x

x/sin(32) = 7/sin(23) Multiply both sides by Sin(32)

x = 7*sin(32)/sin(23)

x = 7*(0.5299) / sin(23)

x = 3.7094/ sin(23)

x = 3.7094 / 0.3097

x = 9.4935

Rounded to the nearest 10th

x = 9.5