The angle ∠E is a right-angle then the measure of angle ∠E is 90°. Then the correct option is D.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
Triangle DEF is a right triangle and angles D and F are equal but are not right angles.
Then the angle ∠E will be a right-angle. Then
∠E = 90°
And we have
∠D = ∠F
Then the sum of the angle of a triangle is 180°. Then we have
∠D + ∠E + ∠F = 180°
∠D + 90° + ∠D = 180°
2∠D = 90°
∠D = 45°
Then the measure of angle ∠E is 90°.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
