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Mathematics 16 Online
OpenStudy (anonymous):

What is the value of y in the parallelogram? *PICTURE INCLUDED* I got 140 for y, am I right?

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

that's way too big

jimthompson5910 (jim_thompson5910):

hint: find this angle first

OpenStudy (anonymous):

How? o_o

jimthompson5910 (jim_thompson5910):

by finding the green angle first, then subtracting off 30 from the green angle

OpenStudy (anonymous):

>.< Wow, I'm confused.

jimthompson5910 (jim_thompson5910):

focus on the following triangle |dw:1372881091898:dw|

OpenStudy (anonymous):

|dw:1372881928640:dw|

OpenStudy (anonymous):

First label the figure this way. Then it is easier to track arguments.

OpenStudy (anonymous):

In triangle BEC, the angle BEC is 80 degrees.

OpenStudy (anonymous):

Now, angle CED is thus 100 degrees. (angle BEC and angle CED form a linear pair=180 degrees)

OpenStudy (anonymous):

Now, angle BAC=angle ACD=angle ECD=50 degrees. They are all alternate angles between parallel lines.

OpenStudy (anonymous):

Now, in triangle ECD, you have angle CED=100; angle ECD=50. You can then find the remaining angle y.

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