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Mathematics 9 Online
OpenStudy (anonymous):

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°.

OpenStudy (anonymous):

OpenStudy (anonymous):

The flow chart with missing statements and reasons proves that the measure of angle ECB is 54°.

OpenStudy (anonymous):

OpenStudy (anonymous):

Which statement and reason can be used to fill in the numbered blank spaces? 1. Measure of angle AED is 36° 2. Base angle theorem 3. Corresponding angles are congruent 1. Measure of angle AED is 54° 2. Triangle Sum Theorem 3. Corresponding angle are congruent 1. Measure of angle AED is 54° 2. Base angle theorem 3. Alternate interior angles are congruent 1. Measure of angle AED is 54° 2. Triangle Sum Theorem 3. Alternate interior angles are congruent

OpenStudy (anonymous):

I think its D

OpenStudy (anonymous):

@shifuyanli @undeadknight26 @paki

OpenStudy (anonymous):

@Michele_Laino

OpenStudy (mathstudent55):

If the answer is D., that means for reason 3. you are using "Alternate interior angles are congruent" Which angles in the figure are alternate interior angles?

OpenStudy (anonymous):

@mathstudent55 woops I meant C

OpenStudy (anonymous):

they're corresponding right?

OpenStudy (anonymous):

and congruent

OpenStudy (mathstudent55):

es. Since the segments are parallel, the angles are corresponding. That's why they are congruent. Answer is not D or C.

OpenStudy (anonymous):

B?

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