MEDAL AND FAN
Lines l, m, and n are parallel.

What is the value of x?

Question

MEDAL AND FAN
Lines l, m, and n are parallel.
 
What is the value of x?

winsteria · Answer

attachment

winsteria · Answer

@acxbox22

winsteria · Answer

@StudyGurl14

winsteria · Answer

@TheSmartOne

acxbox22 · Answer

looking only at lines l and n
the 58 degree angle is alternate interior to angle x

anonymous · Answer

Omg Sky Ferreira in that picture is perfect!

winsteria · Answer

@acxbox22 so how do I get the answer?

winsteria · Answer

yes she's perfect lol @Kyliejones

anonymous · Answer

Yes!

acxbox22 · Answer

alternate interior angles are congruent since technically they are vertical angles

winsteria · Answer

so what's the value of x lol? @acxbox22

acxbox22 · Answer

thats for you to find out lol

acxbox22 · Answer

if we know x and the 58 degree angle are alternate interior angles and we know alternate interior angles are congruent what can we say about angle x?

winsteria · Answer

I don't know @acxbox22

acxbox22 · Answer

hint: angle x is congruent to the 58 degree angle

jim_thompson5910 · Answer

this hint might help

acxbox22 · Answer

i wish i could explain as well as @jim_thompson5910 :(

jim_thompson5910 · Answer

if we have two parallel lines like this
|dw:1426812171176:dw|

jim_thompson5910 · Answer

then add in a transversal cut
|dw:1426812280102:dw|

winsteria · Answer

So x is 58? Idk?

jim_thompson5910 · Answer

the corresponding angles (marked below) are congruent

|dw:1426812303742:dw|

jim_thompson5910 · Answer

yes x =58 because of this and because vertical angles are congruent

one such pair of vertical angles are drawn below

|dw:1426812341198:dw|