Question

5. Use the law of Cosines to find each missing sides. Round to the nearest tenth

Answer 1

The measure of angle x will be 88 degrees. Then the correct option is C.

The complete question is attached below.

What is law of cosine?

Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

2ab cos θ = a² + b² – c²

The triangle is shown below.

Then the value of the variable x will be

2 · 7 · 10 · cos x = 7² + 10² – 12²

       140 · cos x = 49 + 100 – 144

                cos x = (149 – 144) / 140

                       x = 87.95 ≈ 88°

Then the correct option is C.

Learn more about law of cosines here:

brainly.com/question/17289163

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