Question

in aghi, hi = 20, ig = 16, and gh = 15. which list has the angles of aghi in order from smallest to largest?
answer
m/h, m/g, m/i
m/i, m/h, m/g
m/g, m/h, m/i
m/i, m/g, m/h
m/g, m/i, m/h
m/h, m/i, m/g
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Explanation:

Step1: Recall the triangle - side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Compare the side lengths

Given \(HI = 20\), \(IG=16\), and \(GH = 15\). So, \(HI>IG > GH\).

Step3: Determine the angle order

Since the side - angle relationship in \(\triangle GHI\): the angle opposite \(HI\) is \(\angle G\), the angle opposite \(IG\) is \(\angle H\), and the angle opposite \(GH\) is \(\angle I\). So, \(m\angle G>m\angle H > m\angle I\).

Answer:

\(m\angle G,m\angle H,m\angle I\)