Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Step-by-step explanation:
Since we have given that
ΔPQS, and ΔSQR,
Consider, ΔPQS,
As we know that " the length opposite to the largest angle is the shortest segment."
So, According to the above statement.

Similarly,
Consider, ΔSQR,
Again applying the above statement, we get that,

Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Answer:
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4x and 2x line along a straight line, their sum then must be 180° so
6x=180
x=30
So the angles in there are:
3(30)-5=85°
2(30)=60°
4(30)=120°