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overtonka
Use a system of equations to find x and y in each situation.
|dw:1361560197444:dw|
look at the left side first
|dw:1361560279591:dw|
these are supplementary angles meaning they have to add to 180
now for hte botom angles|dw:1361560354038:dw| these are also supplementary meaning that the angle next to 48 is (180-48)= 132
|dw:1361560406233:dw| now look at the right side|dw:1361560425421:dw| also supplementary \[x-2y+132=180\]
lastly you have the top|dw:1361560497760:dw| \[x+y+x-2y=180\] \[2x-y=180\]
since we found 132 lets leave that one out as we only need two to solve this \[2x-y=180\] \[x+y=132\] if you add the two together you get \[3x=312\] \[x=104\] using this in the second equation we get \[104+y=132\] \[y=28\] now lets test these values with the 3rd equation we got finding the 132 angle \[x-2y+132=180\] \[104-2(28)+132=180\] \[180=180\] therefore these answers are correct