The sum of the exterior angles of any polygon is always 360 degrees.
So, we can write the equation:
(2x + 20) + (3x - 2) + (6x) + (8x) = 360
Simplifying the equation:
2x + 20 + 3x - 2 + 6x + 8x = 360
19x + 18 = 360
Subtracting 18 from both sides of the equation:
19x = 360 - 18
19x = 342
Dividing both sides by 19:
x = 342/19
x ≈ 18
Therefore, the value of x is approximately 18.
There is a quadrilateral with exterior angles measuring (2x + 20), (3x - 2), (6x), and (8x). What is the value of x?
1 answer