Question

in △def, m∠d = 81° and m∠e = 38°. which statement about the sides of △def must be true? answer ef < fd < de ef < de < fd fd < de < ef de < fd < ef fd < ef < de de < ef < fd

Explanation:

Step1: Find angle F

The sum of angles in a triangle is 180°. So, $m\angle F=180^{\circ}-(m\angle D + m\angle E)=180^{\circ}-(81^{\circ}+ 38^{\circ}) = 61^{\circ}$.

Step2: Recall 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 E=38^{\circ}

Answer:

FD < DE < EF