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Question
question in △abc, bc = 9, ca = 17, and ab = 13. which list has the angles of △abc in order from largest to smallest? answer m∠b, m∠a, m∠c m∠c, m∠a, m∠b m∠c, m∠b, m∠a m∠a, m∠b, m∠c m∠b, m∠c, m∠a m∠a, m∠c, m∠b
Step1: Recall angle - side relationship
In a triangle, the largest angle is opposite the longest side and the smallest angle is opposite the shortest side.
Step2: Identify side lengths
Given $BC = 9$, $CA=17$, and $AB = 13$. The order of side - lengths from longest to shortest is $CA>AB>BC$.
Step3: Determine angle order
The angle opposite $CA$ is $\angle B$, the angle opposite $AB$ is $\angle C$, and the angle opposite $BC$ is $\angle A$. So the order of angles from largest to smallest is $\angle B,\angle C,\angle A$.
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m$\angle B$, m$\angle C$, m$\angle A$