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Mathematics 14 Online
OpenStudy (anonymous):

Find the value of a. The diagram is not to scale.

OpenStudy (anonymous):

OpenStudy (anonymous):

@iambatman

OpenStudy (anonymous):

@SolomonZelman Help Pleaseee

OpenStudy (anonymous):

@DanJS

OpenStudy (danjs):

Do you remember the rules for two parallel lines cut by a transversal?

OpenStudy (danjs):

|dw:1420755979701:dw|

OpenStudy (danjs):

|dw:1420756045280:dw|

OpenStudy (danjs):

So the two angles on the same side, (180 - x + x ) add up to 180 degrees

OpenStudy (danjs):

36 and 'a' should add to 180 and 113 and 'b' should add to 180 good?

OpenStudy (anonymous):

ok, i kinda see what you did

OpenStudy (anonymous):

@DanJS thats it though?

OpenStudy (danjs):

that is all, the same side angles suppliment each other. add to 180

OpenStudy (anonymous):

so b=144 and a=67 ??? @DanJS

OpenStudy (danjs):

no no,,, hold up a sec

OpenStudy (anonymous):

i might be wrong

OpenStudy (anonymous):

i did 180-113

OpenStudy (danjs):

just by observation , without knowing anything about parallel lines and that, 144 degrees is obtuse, look at angle b

OpenStudy (anonymous):

ok i see you have a point, angle b is acute

OpenStudy (danjs):

|dw:1420756561652:dw|

OpenStudy (danjs):

The line that crosses two parallel lines is called the transversal. THe two angles on the inside ADD up to 180.

OpenStudy (danjs):

So two angles in a trapazoid on the same side, have to add up to 180 a + 36 = 180

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