There is a pentagon with interior angles measuring (3x + 10), 2x, 146, 119, and 90. What is the value of x?
The sum of the interior angles of a pentagon is given by the formula (n-2) * 180 degrees, where n is the number of sides.
In this case, n = 5, so the sum of the interior angles is (5-2) * 180 = 540 degrees.
We can now set up an equation to solve for x:
(3x + 10) + 2x + 146 + 119 + 90 = 540
5x + 365 = 540
5x = 540 - 365
5x = 175
x = 175/5
x = 35
Therefore, the value of x is 35.