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50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!-example-1

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Answer:

D. m < A = 50 degrees, b = 20, c = 18

Explanation:

Solution Given:

The formula of Cosine is:

c² = a²+ b² − 2ab cos(C).

a²=b²+c²-2bc cos(A)

b²=a²+c²+2ac cos(B)

If you draw a triangle ABC, then side AB is equal to c, side BC is equal to a, and side AC is equal to b.

a is opposite angle A.

b is opposite angle B.

c is opposite angle C.

If a is opposite angle A, then angle A has to be included between sides b and c.

If b is opposite angle B, then angle B has to be included between sides a and c

If c is opposite angle C, then angle C has to be included between sides a and b.

Therefore, Answer is:

D. m < A = 50 degrees, b = 20, c = 18

Side a is opposite angle which means that angle A is included between sides b and c.

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