PLEASE HELP!!! I'LL FAN AND MEDAL

Question

anonymous · Answer

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 47°.

anonymous · Answer

The flowchart with missing statements and reasons proves that the measure of angle ECB is 43°:

anonymous · Answer

attachment

anonymous · Answer

Which statement and reason can be used to fill in the numbered blank spaces?



Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 43°.


Alternate interior angles are congruent
Base Angle Theorem
Measure of angle AED is 47°


Base Angle Theorem
Corresponding angle are congruent
Measure of angle AED is 43°.


Alternate interior angles are congruent
Triangle Sum Theorem
Measure of angle AED is 47°

koikkara · Answer

Alright... you have two angles given...right?

anonymous · Answer

Yeah

koikkara · Answer

1. hope you know two parallel lines are transversal?|dw:1402315916119:dw|

anonymous · Answer

Yeah, those are corresponding angles, right?

koikkara · Answer

yup..

anonymous · Answer

Okay so that would eliminate B and D

koikkara · Answer

exactly... then...?

anonymous · Answer

Well, both A and C say corresponding angles and that angle AED is 43 degrees..

koikkara · Answer

hmm, but in case of C, Corresponding angle are congruent
Measure of angle AED is 43°. ... is it possible ?

anonymous · Answer

I can't be sure...

koikkara · Answer

The Sum sum of 3 angles add up to 180, so when  you are
given  one angle is 90, another angle is 47  and
sum of 3 angles is 180.  you can figure out the 3rd angle must be 43...guess so..

koikkara · Answer

@ganeshie8 Hope it is right ..?

ganeshie8 · Answer

absolutely !!!

anonymous · Answer

So that makes it triangle sum theorem... thanks! I suck at this stuff

koikkara · Answer

@ganeshie8 thanks i do improve good for entrance too...lol !

ganeshie8 · Answer

you're awesome ! :)