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Find the measure of each interior angle using the given information.
m<E = X
m<F = (X+20)
m<G = (X+5)
m<H = (x-5)
m<J = (X+10)
ok this is how far ive gotten
360 = m<e + m<f + m<g + m<h + m<J
360 = X + (X+20) + (x+5) + (x-5) + (x+10)
Now you are suppossed to combine like terms but iam not sure how to combine these
can anyone please help
Why do you have the sum of the interior angles equal 360?
There are five angles. So take a look at the following webpage.
Polygon -- from Wolfram MathWorld
On that page look a equation (4).
What kind of polygon is this? How can you assume that the 5 angles equal 360? If this is a quadrilateral, then the sum of the interior angles is 360. If it is a pentagon, then the sum of the interior angles is 360+180=540. And so forth. You have five interior angles given. I would assume this would be a pentagon. In this case, m<e + m<f + m<g + m<h + m<J = 540.
Then, x + (x+20) + (x+5) + (x-5) + (x+10) = 540.
Solve for x just like an algebra 1 problem. Then plug in x for each of your five interior angles to get your exact values.
If there is additional information to this problem, please mention it. Good luck.
-Andy