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 28°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 62°: Which statement and reason can be used to fill in the numbered blank spaces?

Answer 1

Answer:

Because  $\angle ECB=62^{\circ}= \angle ADE$ ( coresponding angles are equal )

Step-by-step explanation:

Given triangle ABC is a right triangle.

It means one angle of triangle ABC is of$90^{\circ}$.

$\angle mA=90^{\circ}$

D is the mid point of side AB and E is the mid point of side AC.

Meet D to E . Now DE$\parallel$BC

In triangle ADE

$m\angle ADE=28^{\circ}$  ( given )

$m\angle DAE=90^{\circ}$  ( given)

Now,

Statement : $m\angle ADE+ m\angle DAE +m\angle AED=180^{\circ}$.

Reason: Angle sum property of traingle.

Statement: $28^{\circ}+ 90^{\circ} + m\angle AED = 180^{\circ}$

Reason: By using substitution property .

Statement: $\angle AED=62^{\circ}$

Reason: By usin subtarction property of equality.

Statement: $m\angle AED=m\angle ECB=62^{\circ}$

Reason: Corresponding angles are congruent when transversal line intersect two parallel lines.

Hence proved.

Answer 2

Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 28°


I hope I helped


Brainliest would be appreciated



Have a great day!