Question

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angle ADE is 47°.
(refer to the attachment 1)

Which statement and reason can be used to fill in the numbered blank spaces?



Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 43°.


Alternate interior angles are congruent
Base Angle Theorem
Measure of angle AED is 47°


Base Angle Theorem
Corresponding angle are congruent
Measure of angle AED is 43°.


Alternate interior angles are congruent
Triangle Sum Theorem
Measure of angle AED is 47°

(refer to the attachment 2)

Answer 1

The answer 
3. measure of DEA is 43°
proof:   90° +47° + mDEA= 180°, so  mDEA= 43°
2.complementary angle
1.corresponding angles