Colt45
Find the value of x. Then find the measure of each labeled angle



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Colt45
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dw:1351132812622:dw

lgbasallote
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ahh transversals huh

Colt45
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i guess so

lgbasallote
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here's a hint:
dw:1351132987818:dw
those angles are equal

lgbasallote
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does that give you any ideas?

Colt45
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i just dont know where to start

Colt45
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i dont know what to make it equal

lgbasallote
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from your drawing...what are the angles that are equal?

Colt45
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3x+23 and y

lgbasallote
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and?

lgbasallote
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what else?

Colt45
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idk

lgbasallote
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look clsoely at your drawing

Colt45
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do i combine the two equations and make them equal to 180

lgbasallote
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dw:1351133521610:dw
what are the angles there?

Colt45
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the top left one needs to be down on the underside of that line in my picture i tried to draw a arrow

lgbasallote
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?

lgbasallote
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well then...that's different....

Colt45
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dw:1351133688499:dw

lgbasallote
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so only 3x + 23 are equal

lgbasallote
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3x + 23 and y are equal*

Colt45
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yeah my bad

lgbasallote
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then 2x + 12 and y are linear pairs....so like you said...they add up to 180
2x + 12 + y = 180

lgbasallote
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and since y and 3x + 23 are equal, you can substitute
2x + 12 + 3x + 23 = 180
solve for x

Colt45
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y is the same as 3x + 23?

lgbasallote
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do you know the rest from there?

Colt45
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only if x = 29...

Colt45
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i think so

lgbasallote
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2x + 12 + 3x + 23 = 180
5x + 35 = 180
5x = 145
x = 29
right

Colt45
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i got it. thanks