angle OPE =(3x +170) angle EPN = (x^(2)) angle OPN = 180 . find x
thanks!

Question

angle OPE =(3x +170) angle EPN = (x^(2)) angle OPN = 180 . find x
thanks!

anonymous · Answer

is this a quadrilateral, are you given a drawing?

anonymous · Answer

yes

anonymous · Answer

it is a straight angle and a line coming out creating two more angles

anonymous · Answer

what letter is in the middle of the line?

anonymous · Answer

p sorry should have said that

anonymous · Answer

All we have to realize is that angleEPN +angleOPE = angle OPN

anonymous · Answer

Then you can set up an equation and then solve it.

anonymous · Answer

|dw:1346641587301:dw|
not quite sure how to do that . should i set up the quadratic formula?

anonymous · Answer

i think that is what you end up with. simply write what the equation would be give angleEPN+angleOPE=angleOPN        you are given expressions for all of these angles.

anonymous · Answer

ok just to be sure 
(3x +170 degrees) +x second power)degrees = 80 degrees?

anonymous · Answer

ok yu add them together and set them equal to 180

anonymous · Answer

was my above correct?( i meant to type 180 at the end)

anonymous · Answer

$$\left( 3x+170 \right)+x ^{2}=180$$

anonymous · Answer

ok thought so then would i use the quadratic equation to figure it out?

anonymous · Answer

$$x ^{2}+3x=10$$

anonymous · Answer

unless you want to set it to zero.

anonymous · Answer

thanks so much the helped lot!

anonymous · Answer

haha anytime.