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Mathematics 18 Online
OpenStudy (partyshotz2409):

I will medal and fan The figure shows two parallel lines AB and DE cut by the transversals AE and BD: Which statement best explains the relationship between Triangle ABC and Triangle EDC ? Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4 Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5 Triangle ABC is con

OpenStudy (partyshotz2409):

OpenStudy (oswaldmurphy):

Are those all the answer choices?

OpenStudy (partyshotz2409):

Triangle ABC is similar to triangle EDC , because m∠3 = m∠6 and m∠1 = m∠4 Triangle ABC is similar to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5 Triangle ABC is congruent to triangle EDC , because m∠3 = m∠4 and m∠1 = m∠5 Triangle ABC is congruent to triangle EDC, because m∠3 = m∠6 and m∠61 = m∠4

OpenStudy (partyshotz2409):

what about you mayank

OpenStudy (mayankdevnani):

what do you think? any ideas ?

OpenStudy (partyshotz2409):

I know it's either A or B

OpenStudy (partyshotz2409):

i have another question

OpenStudy (mayankdevnani):

we know that angle 3=angle 4 are equal cuz they are vertically opposite angles

OpenStudy (mayankdevnani):

btw option A is wrong

OpenStudy (partyshotz2409):

Which relationship is always true for the angles r, x, y, and z of triangle ABC? x + z = y 180 degrees − x = r x + y + z = 180 degrees x + y + z = 90 degrees

OpenStudy (mayankdevnani):

can you find out the relationship between angle 1 and angle 5 ?

OpenStudy (partyshotz2409):

on the first or second question

OpenStudy (mayankdevnani):

first question

OpenStudy (partyshotz2409):

idk they are eqaul

OpenStudy (mayankdevnani):

yep! they are equal due to opposite angles on a transversal line

OpenStudy (partyshotz2409):

ok now to question 2

OpenStudy (mayankdevnani):

what do you think?

OpenStudy (partyshotz2409):

C

OpenStudy (mayankdevnani):

how?

OpenStudy (partyshotz2409):

idk

OpenStudy (mayankdevnani):

|dw:1468778369697:dw| angle 1 and angle 2 constitutes linear pair

OpenStudy (mayankdevnani):

that means angle1+angle 2=180

OpenStudy (mayankdevnani):

from the above conclusion,can you tell me that what is correct option ?

OpenStudy (partyshotz2409):

so A

OpenStudy (partyshotz2409):

no B

OpenStudy (mayankdevnani):

yea

OpenStudy (mayankdevnani):

option B is correct

OpenStudy (partyshotz2409):

i have two more

OpenStudy (mayankdevnani):

sure

OpenStudy (partyshotz2409):

)A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. Step 1: m∠m + m∠n + m∠p = 180 degrees (sum of angles of a triangle) Step 2: m∠p + m∠o = 180 degrees (adjacent supplementary angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p In which step did the student first make a mistake and how can it be corrected? Step 1; it should be m∠m + m∠n + m∠o = 180 degrees (sum of angles in a triangle) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) Step 2; m∠p − m∠o = 90 degrees (alternate interior angles)

OpenStudy (mayankdevnani):

what do you think?

OpenStudy (partyshotz2409):

C

OpenStudy (mayankdevnani):

nope

OpenStudy (partyshotz2409):

A

OpenStudy (mayankdevnani):

well yes !

OpenStudy (partyshotz2409):

thank you one more

OpenStudy (mayankdevnani):

|dw:1468779733353:dw|

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