Which is x given the angle measures in the pentagon below?

Answer 50
60
65
70

Question

Which is x given the angle measures in the pentagon below?

Answer    50 
   60 
   65 
   70

anonymous · Answer

attachment

anonymous · Answer

The sum of the angles of a n-gon figure is given by 180(n-2).  So since you have a pentagon, n=5 and the sum is 540.

Add up all the angles and set it equal to 540.  Then solve for x.

anonymous · Answer

how do u do that?

anonymous · Answer

You have five angle measurements.  Add them all together and set it equal to 540...
(x + 25) + (2x - 30) + (x + 35) + (x + 40) + (2x - 20) = 540

Combine like terms (combine all the x's and all the non-x's) and then solve for x.

anonymous · Answer

i got 7x=40

anonymous · Answer

Not quite...double check that.  I got 7x=490

anonymous · Answer

The simplified left becomes 7x+50 so that set equal to 540 gives you 7x=490.

anonymous · Answer

o ok i see wat i did wrong

anonymous · Answer

So now the answer becomes obvious :)

anonymous · Answer

yes 70