Question

list the angle measures of △bcd in order from smallest to largest. assume that y is a positive number.
m∠□ < m∠□ < m∠□

Explanation:

Step1: Identify side lengths

Side lengths: $BD=50y$, $BC=186y$, $CD$ (unknown, longest side via triangle inequality)

Step2: Match angles to opposite sides

• $\angle C$ opposite $BD=50y$ (shortest side)
• $\angle D$ opposite $BC=186y$ (longer side)
• $\angle B=91^\circ$ (opposite longest side $CD$)

Step3: Order angles by side length

Smallest angle opposite shortest side, largest opposite longest.

Answer:

$m\angle C < m\angle D < m\angle B$