Use the Law of Sines to complete an expression that represents the angle measure x.

The sine rule is used when we are given either a) two angles and one side, or b) two sides and a non-included angle. The cosine rule is used when we are given either a) three sides or b) two sides and the included angle. Study the triangle ABC shown below.

Step-by-step explanation:

Sine rule ; a/Sin A = b/Sin B

; 2.5/Sin x° = 3/Sin 28°

; 3Sin x° = 2.5Sin 28°

sin x° = (2.5 × sin 28°) / 3

x = arc sin{(2.5 × sin28°) / 3}

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