Question 555346: Please help me figure what quadrilateral I have when the given angle measures are
2x , 7x , 9x-40 , x+20
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! All four angles add to 360, so 2x+7x+9x-40+x+20 = 360, solve for x to get:
2x+7x+9x-40+x+20=360
19x-20=360
19x=360+20
19x=380
x=(380)/(19)
x=20
Now plug this into each angle expression:
2x = 2(20) = 40
7x = 7(20) = 140
9x-40 = 9(20)-40 = 180-40 = 140
x+20 = 20+20 = 40
So the four angles are: 40, 140, 140, 40
This means that we have 2 pairs of equal angles which are opposite. This means we have a parallelogram.
If you need more help, email me at jim_thompson5910@hotmail.com
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Jim
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