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Mathematics 15 Online
zbz:

GEOMETRY HELP PLEASE

zbz:

1 attachment
jhonyy9:

so like a first step a line equal how many degrees ?

zbz:

180

jhonyy9:

have you heard about alternate interior angles theorem ?

zbz:

yes

jhonyy9:

conform to this theorem on this posted image what angles are congruent ?

zbz:

angles 1 and 2

jhonyy9:

|dw:1608576710865:dw| no bc. these angles not are alternate angles

jhonyy9:

what mean alternat ?

jhonyy9:

opposite on the other side

zbz:

Yes, I understand that, but may you clarify what I have to do to solve for b?

jhonyy9:

why for b. the a. is ended ?

zbz:

What do you mean?

jhonyy9:

prove that <1 +<2 = 180°

jhonyy9:

a. conform to above wrote theorem what angles are congruent ?

jhonyy9:

this will help you solve the point b. too

jhonyy9:

look pls on this image you ve said above that a line has 180° yes ? so from this result that <1 +<3 = <2+<4 = 180° yes ? but if < +<3 = 180° so than not can satisfy the conditions of this above wrote theorem so not can be congruent angles yes ? and now using these knowledge what angles are alternate interior angles ?

zbz:

<1 & <4, <2 & <3

jhonyy9:

exactly

zbz:

Is that it?

jhonyy9:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @jhonyy9 and now from this result that <1 +<3 = <2 +<4 = 180° and from this above wrote congruentcy that <1 congr. <4 and <2 congr. <3 what result ? <1 +<2 = ? \(\color{#0cbb34}{\text{End of Quote}}\)

zbz:

180

jhonyy9:

sure - so a. solved

jhonyy9:

b. ?

jhonyy9:

what you know from point a. ?

zbz:

180?

jhonyy9:

180° ? what is this ? what you know from point a. ?

jhonyy9:

what was proven there ?

zbz:

m<1 +m<2 = 180°

jhonyy9:

yes and from this text of your problem you know that m<1 and m<2 has given expressions with x - yes ?

jhonyy9:

using these expressions what you can write ?

zbz:

<1 = 20x +5 <2 = 24x -1

jhonyy9:

and assuming them make equal 180 degrees yes ?

zbz:

yes

jhonyy9:

so write this pls and from this equation you can calcule easy the x value

zbz:

Okay great! I get it now. Thank you for being patient with me. I appreciate your help:)

jhonyy9:

np yw anytime questions ?

zbz:

Nope, thanks again

jhonyy9:

anytime just tag me bye bye

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