Find m∠E in rhombus DEFG.

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May 9th, 2015

Adjacent angles of a rhombus are supplementary.

Therefore, ∠E + ∠D = 180º

8w - 80º + 2w = 180º

10w - 80º = 180º

10w = 180º + 80º

10w = 260º

w = 260º/10

w = 26º 


So, m∠E = 8w -80º = 8*26º - 80º = 208º - 80º  = 128º


May 9th, 2015

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