Question

list the angle measures of δqrs in order from smallest to largest. assume that y is a positive number.
q
28y
r
36y
35y
s
m∠□ < m∠□ < m∠□
submit

Explanation:

Step1: Match angles to opposite sides

In $\Delta QRS$:

• $\angle S$ is opposite $QR = 28y$
• $\angle R$ is opposite $QS = 36y$
• $\angle Q$ is opposite $RS = 35y$

Step2: Compare side lengths

Since $y>0$, order of sides:
$28y < 35y < 36y$

Step3: Relate sides to angles

In a triangle, smaller sides correspond to smaller opposite angles.

Answer:

$m\angle S < m\angle Q < m\angle R$