Question

given:△rst, rs = 15, st = 20, and tr = 29. which inequality correctly compares the measures of the angles of△rst? m∠r < m∠s < m∠t; m∠t < m∠r < m∠s; m∠s < m∠r < m∠t; m∠s < m∠t < m∠r

Explanation:

Step1: Recall angle - side relationship

In a triangle, the larger the side length, the larger the measure of the opposite angle.

Step2: Identify opposite angles

Side $RS = 15$ is opposite $\angle T$, side $ST=20$ is opposite $\angle R$, and side $TR = 29$ is opposite $\angle S$.

Step3: Compare side lengths

We have $RS=15

Step4: Compare angle measures

Since the larger the side, the larger the opposite - angle, we have $m\angle T

Answer:

$m\angle T < m\angle R < m\angle S$