Question

P, Q, and R are three different points. PQ = 3x + 2, QR = x, RP = x + 2, and . List the angles of PQR in order from largest to smallest and justify your response.

Answer 1

PQR is a triangle
QR = x  ⇒ x>0
If x>0 then:
QR is the smallest side
PQ is the largest side

In the triangle, the largest angle lies opposite the largest side.
The angles of ΔPQR in order from largest to smallest:
∠R is largest    [opposite to PQ]
∠Q is middle    [opposite to RP]
∠P is smallest   [opposite to QR]