Answer:
x = 150
Step-by-step explanation:
The sum of interior angles of a polygon with "n" sides is:
(n - 2) * 180
This polygon has 6 sides (hexagon), so the sum of all the interior angles would be:
(6 - 2) * 180
= 4 * 180
= 720
The 4 angles are given, the other angle is marked with a square, which means a 90 degree angles. Of course, then we have "x", what we are trying to find.
We can write an equation and solve now for "x":
[tex]x+121+96+101+162+90=720\\x+570=720\\x=720-570\\x=150[/tex]
So,
x = 150
