Answer:
B
Step-by-step explanation:
mAngleA = 32°, mAngleB = 53°, mAngleC = 95°
The order of sides is equal to the order of opposite angles, which helps us to find that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.
Hence, the second option is the right choice.
In a triangle ABC, where a = BC, b = CA, and c = AB, and we are given that a > b > c, then we can see that ∠A > ∠B > ∠C, that is, the sides and the opposite angles follow the same order.
The largest side of the triangle is opposite the largest angle, while the shortest side of the triangle is opposite the shortest angle.
In the question, we are asked to consider a triangle ABC, where AB has a length of 15, BC has a length of 8, and CA has a length of 12.
The angles of this triangle are 32°, 53°, and 95°.
We are asked to find the measure of each angle based on the side lengths.
The side opposite ∠A is BC = a.
The side opposite ∠B is CA = b.
The side opposite ∠C is AB = c.
We are given that, AB = 15, BC = 8, and CA = 12.
Thus we can write that AB > CA > BC or c > b > a.
Now, we know that opposite angles follow the same order.
Therefore, we can write that ∠C > ∠B < ∠A.
The 3 angles given to us are 32°, 53°, and 95°.
Thus, we can say that m ∠A = 32°, m ∠B = 53°, and m ∠C = 95°.
Hence, the second option is the right choice.
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