Question

Will fan and medal

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°.

Answer 1

The following flowchart with missing statements and reasons proves that the measure of angle ECB is 62°:

Answer 2

Which statement and reason can be used to fill in the numbered blank spaces? (1 point)

Answer 3

Select one:
a.
1. Base angle theorem
2. Corresponding angle are congruent
3. Measure of angle AED is 28°
b.
1. Alternate interior angles are congruent
2. Base angle theorem
3. Measure of angle AED is 62°
c.
1. Corresponding angles are congruent
2. Triangle Sum Theorem
3. Measure of angle AED is 28°
d.
1. Corresponding angles are congruent
2. Triangle Sum Theorem
3. Measure of angle AED is 62°

Answer 4

Can anybody help?

Answer 5

@hartnn

Answer 6

@hartnn plz help im really stuck

Answer 7

<ECB ≅ < AED because they are corresponding angles formed by two parallel lines and a transversal.

In the options, that appears as "Corresponding angles are congruent"

That rules out options A and B and leaves options C and D in the running.

Answer 8

The second missing reason, "The Triangle Sum Theorem" is in both options C and D.

Given what you posted:

>>The following flowchart with missing statements and reasons proves that the measure of angle ECB is 62°:

To get angle ECB = 62, first get angle AED = 62 by the Triangle Sum Theorem.

To my thinking, this option is the best fit:

d. 1. Corresponding angles are congruent
2. Triangle Sum Theorem
3. Measure of angle AED is 62°

@Ian_Sage015