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Mathematics 6 Online
OpenStudy (hellokitty17):

Geometry Help please!

OpenStudy (anonymous):

ok

OpenStudy (mynameisnemo):

I'm in geometry, I can try to help

OpenStudy (hellokitty17):

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? 1.Measure of angle AED is 36° 2.Base angle theorem 3.Corresponding angles 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 1.Measure of angle AED is 54° 2.Triangle Sum Theorem 3.Corresponding angle are congruent

OpenStudy (anonymous):

wow

OpenStudy (mynameisnemo):

yeah thats a lot

OpenStudy (anonymous):

c?

OpenStudy (phi):

the reason for 3.) is definitely corresponding angles (of a transversal crossing 2 parallel lines)

OpenStudy (hellokitty17):

@Vocaloid @ganeshie8 @AlexandervonHumboldt2 @swisscheesy @freckles @mathmate @Nnesha @ParthKohli @texaschic101

OpenStudy (phi):

that means its either choice a or d

OpenStudy (phi):

we know m <AED is 54 that let's us choose between choice a and choice d

OpenStudy (hellokitty17):

would it be option a?

OpenStudy (phi):

choice a says <AED is 36 but we know that is not correct.

OpenStudy (hellokitty17):

so then that leaves d as the final correct answer.

OpenStudy (phi):

yes. and the reason for 2. in choice d makes sense (at least it does to me)

OpenStudy (phi):

so I would pick d)

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