Question

1. using the image, complete the statement: m∠qsp select m∠qsr < not enough information >

Explanation:

Step1: Apply the hinge - theorem

In $\triangle QSP$ and $\triangle QSR$, $QS = QS$ (common side), $SP=SR$ (marked equal), and $QP = 6$, $QR = 5$. Since $QP>QR$, by the hinge - theorem, the angle opposite the longer side in a triangle is larger.

Step2: Determine the angle relationship

The angle opposite side $QP$ in $\triangle QSP$ is $\angle QSP$, and the angle opposite side $QR$ in $\triangle QSR$ is $\angle QSR$. So, $m\angle QSP>m\angle QSR$.

Answer:

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