To find the measure of ∠D, we need to find the measure of ∠C.
Find the measure of ∠C using the sum of interior angles in a triangle. The sum of interior angles in a triangle is 180°
∠C + ∠A + ∠B = 180°
∠C + 40° + 81° = 180°
∠C = 180° - 40° - 81°
∠C = 59°
The measure of ∠C is 59°
Find the measure of ∠D by supplementary angles property
∠C, ∠D , ∠E are supplementary angles. If the three angles add together, the result is 180°
∠D + ∠C + ∠E = 180°
∠D + 59° + 25° = 180°
∠D = 180° - 59° - 25°
∠D = 96°
The measure of ∠D is 96°