Answer: x = 6
We can see, that ∠UWV and ∠GWV together will create a half-full angle so:
Let’s call ∠UWV „y”:
y = 180 - 135
y = 45
So that angle is 45 degrees.
We add this to other 2 angles of triangle, and together we’ll get 180 degrees (sum of angles in triangle is equal to 180):
(18x + 2) + (5x - 5) + 45 = 180
1) Simplify:
23x + 42 = 180
23x = 180 - 42
23x = 138 |:23
x = 6
So x is equal to 6. Hope this helps!