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in △def, m∠d = 11° and m∠e = 36°. which list has the sides of △def in o…

Question

in △def, m∠d = 11° and m∠e = 36°. which list has the sides of △def in order from shortest to longest?

Explanation:

Step1: Find the third - angle measure

In a triangle, the sum of interior angles is 180°. Let \(m\angle D = 11^{\circ}\) and \(m\angle E=86^{\circ}\). Then \(m\angle F=180-(11 + 86)=83^{\circ}\).

Step2: Apply the angle - side relationship

In a triangle, the side opposite the smallest angle is the shortest and the side opposite the largest angle is the longest. Since \(m\angle D

Answer:

EF, DE, FD