The law of cosines is used to find the measure of q. 242 = 202 + 342 – 2(20)(34)cos(q) 576 = 400 + 1156 – (1360)cos(q) 576 = 1556 – (1360)cos(q) –980 = –(1360)cos(q) to the nearest whole degree, the measure of angle q is degrees

44 degrees.

Step-by-step explanation:

We are asked to find the measure of angle Q using law of cosines.

Law of cosines:

Upon substituting our given values in above formula we will get,

Upon dividing both sides of our equation by -1360 we will get,

Now we will use arccos to solve for the measure of angle Q.

Therefore, the measure of angle Q is 44 degrees.

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