00:01
This problem wants us to find the value of x, and we're given a polygon that has five sides, and these sides are obviously not congruent, but we can figure out the sum of the interior angles by knowing the number of sides in this polygon, because the formula for the sum of the interior angles of a polygon is n -minus 2, or n is our number of sides, times 180 degrees.
00:23
So that would give us 5 minus 2 times 180 degrees, so that's 3 times 180 degrees, which means that all of our angles should add up to 540 degrees.
00:34
So now we can use that with the angles we're given of 90 plus 148 plus 112, plus our two values that include x, so plus x plus x, plus x, and all of our angles added up should equal 540 degrees.
00:54
So now we have an equation that has everything in terms of x or a constant.
00:58
So we'll combine our like terms now.
01:02
And when we look at our like terms, we have constants of 90, 148, 112, and 10...