Question

list the angle measures of △bcd in order from smallest to largest, given that bd = 76 miles, bc = 93 miles, and cd = 48 miles. m∠□ < m∠□ < m∠□ submit

Explanation:

Step1: Match sides to opposite angles

In $\triangle BCD$:

• Side $CD = 48$ is opposite $\angle B$
• Side $BD = 76$ is opposite $\angle C$
• Side $BC = 93$ is opposite $\angle D$

Step2: Order sides by length

$48 < 76 < 93$, so $CD < BD < BC$

Step3: Apply triangle angle-side relationship

In any triangle, the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

Answer:

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