Question 555346
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.


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