Mathematics
14 Online
OpenStudy (anonymous):
Find the value of a. The diagram is not to scale.
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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?
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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
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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
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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.
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OpenStudy (danjs):
So two angles in a trapazoid on the same side, have to add up to 180
a + 36 = 180