SOLUTION: a pentagon has interior angles with measures 40, 117, 83, (7x + 30), 8x. find the value of x

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Question 1071989: a pentagon has interior angles with measures 40, 117, 83, (7x + 30), 8x. find the value of x
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!


The sum of the interior angles of any polygon with n sides
is given by this formula:

THE SUM OF THE INTERIOR ANGLES = (n-1)×180°

A pentagon has 5 sides, so 

1. substitute n=5 in that formula to
find the sum of the interior angles.

2. write the sum of all 5 interior angles, by putting
+ signs between each pair, like this:

40+117+83+(7x + 30)+8x

3. Write an equal sign after that and put what you got
in step 1 on the right side of the equal sign.

4. Solve the equation for x.

Edwin
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