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Mathematics 14 Online
OpenStudy (anonymous):

HELP ME PLEASE ASAP! https://media.glynlyon.com/g_geo_ccss_2013/13/img_geou12a_46.gif Given, line l and line m are parallel. If m∠1 = 60°, and m∠2 = 125°, what is m∠3? 95° 105° 115° 125°

OpenStudy (anonymous):

@master50777

OpenStudy (anonymous):

@Pawtpie

OpenStudy (anonymous):

Since the measure of angle 2 is 125, that means 125 + the angle next to it equals 180

OpenStudy (anonymous):

|dw:1400823959170:dw|

OpenStudy (anonymous):

So what would x be since 125 + x = 180

OpenStudy (anonymous):

55 but its not a choice

OpenStudy (anonymous):

That's ok, it's because that's just not the answer

OpenStudy (anonymous):

The answer we want is the measure of angle 3

OpenStudy (anonymous):

so now the triangle looks like this:

OpenStudy (anonymous):

|dw:1400824189305:dw|

OpenStudy (anonymous):

The internal angles of a triangle add up to 180

OpenStudy (anonymous):

So now 60 + 55 + x = 180

OpenStudy (anonymous):

So with this information, what would be the remaining angle of the inside of the triangle

OpenStudy (anonymous):

idk

OpenStudy (anonymous):

The angle on top is 60, the one to the left is 55, so the last angle is 180 - 60 - 55

OpenStudy (anonymous):

65

OpenStudy (anonymous):

|dw:1400824395918:dw| We can finally solve for angle 3 with this

OpenStudy (anonymous):

So the answer, angle 3, is x in: 180 = 65 + x

OpenStudy (anonymous):

so in this problem you would move the 65 to the other side by subtracting and get x = 115

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