The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
What is the triangle?
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Let's suppose the angle m∠Q is A
So applying law of cosine:
[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]
CosA = 0.859
A = 30.75 ≈ 30.8 degree
Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
Learn more about the triangle here:
brainly.com/question/25813512
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