Ask your own question, for FREE!
Mathematics 11 Online
OpenStudy (anonymous):

I need help with proving that the measures of the interior angles of a triangle is 180 degrees.

OpenStudy (amistre64):

draw a parallel line thru one of the vertexes, that is parallel to the other side ...

OpenStudy (amistre64):

|dw:1444082209218:dw|

OpenStudy (anonymous):

I have gotten that far.

OpenStudy (amistre64):

what are angles called so that we can equate them like i did?

OpenStudy (amistre64):

and what is the measure in degrees of a straight line?

OpenStudy (anonymous):

alternate interior?

OpenStudy (anonymous):

180 degrees for a straight line.

OpenStudy (amistre64):

alt interior yes; that allows us to move a and c to the top

OpenStudy (amistre64):

now a+b+c = 180 by some straight line property

OpenStudy (anonymous):

What do you mean by straight line property?

OpenStudy (amistre64):

i mean, that i can never remember what they call these things .... the names should be better suited to you since you are fresh in the course.

OpenStudy (amistre64):

straight angle definition maybe?

OpenStudy (amistre64):

since a,b,c add create a straight line, then they add up to 18o degrees,

OpenStudy (anonymous):

but is that enough for this proof?

OpenStudy (amistre64):

should be what was it we were trying to prove?

OpenStudy (anonymous):

That the sum of the interior angles of a triangle are 180 degrees.

OpenStudy (amistre64):

we show that the three angles of a triangle form a straight line ... and thereby have a sum of 180

OpenStudy (amistre64):

thats proof enough for me

OpenStudy (anonymous):

Thanks.

OpenStudy (amistre64):

good luck

OpenStudy (anonymous):

I need more help with this

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!