Answer:
DE < EC < CD
Explanation:
In a triangle, the shortest side is always opposite the shortest angle, and the longest side is opposite the longest angle.
We are given: ∠E = 76°, ∠D = 63°
Given that the angles in a triangle always sum up to 180°, we can find the measure of ∠C.
∠C + ∠D + ∠E = 180 ⇒ ∠C + 63 + 76 = 180 ⇒ ∠C + 139 = 180 ⇒ ∠C = 41°
Now, let's order the angles from least to greatest.
∠C, ∠D, ∠E. Taking the sides that are opposite from each of the angles, we get: DE < EC < CD.