Answer:

Explanation:
In order to find the measure of ∠E, we will set up an equation.. But before we do that, we will take a look at what we're given.
given : -
∠D and ∠E are complementary
that means : -
∠D + ∠E = 90 ,since the sum of two complementary angles is always 90 degrees
The measure of ∠D is 53 degrees, therefore:
53 + ∠E = 90
∠E = 90 - 53 = 37
therefore ,the measure of angle E is 37 degrees.