x = 34.3
Exterior angles in a trapezium
In a trapezium, the sum of the outer angles is always equal to 360 degrees because, in any convex quadrilateral, the sum of the four angles is consistently 360 degrees. As a trapezium is a type of convex quadrilateral, the sum of its four angles is 360 degrees, regardless of its shape or size.
Solve for x
We can simplify this equation by combining like terms on one side and isolating the variable on the other.
First, combine like terms: x + 5 + 3x - 8 + 5x + 10 + x + 10 = 360
(x + x) + (5 + 10 + 10) + (3x + 5x) = 360
10x + 17 = 360
Then, subtract 17 from both sides to isolate the variable on one side:
10x = 343
Finally, divide both sides by 10 to solve for x:
x = 34.3
So the solution to the equation is x = 34.3