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 36°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 54°: Which statement and reason can be used to fill in the numbered blank spaces?

A. Measure of angle AED is 36°
Base angle theorem
Corresponding angles are congruent
B. Measure of angle AED is 54°
Base angle theorem
Alternate interior angles are congruent
C. Measure of angle AED is 54°
Triangle Sum Theorem
Alternate interior angles are congruent
D.Measure of angle AED is 54°
Triangle Sum Theorem
Corresponding angle are congruent

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Answer:

D.Measure of angle AED is 54°

Triangle Sum Theorem

Corresponding angle are congruent

Step-by-step explanation:

if ABC is a right-andled triangle, then angle ADE=36 and angle ECB=(180-(90+36)) =54 WHICH IS triangle sum theorem

Angle ECB=AED= corresponding angles