SOLUTION: Four interior angles of a certain irregular pentagon are 38*, 96*, 112*, and 133*. Find the fifth interior angle.

Algebra ->  Points-lines-and-rays -> SOLUTION: Four interior angles of a certain irregular pentagon are 38*, 96*, 112*, and 133*. Find the fifth interior angle.      Log On


   



Question 105007: Four interior angles of a certain irregular pentagon are 38*, 96*, 112*, and 133*. Find the fifth interior angle.
Answer by doukungfoo(195) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the interior angles of any pentagon will always equal 540
So if we call the fifth interior angle x
then we can write an equation with the given information to solve for x
38 + 96 + 112 + 133 + x = 540
379 + x = 540
x = 540 - 379
x = 161
Answer: the fifth interior angle is 161 degrees