Answer:
x = 4
Explanation:
The easiest way to do this is to look at the vertical angles. (15x)º has its own vertical angle, and the part with (8x-2)º and 90º does as well.
Also, every angle will add up to 360º, which is a crucial part of the equation
Do 15x + 15x + 90 + 90 + 8x - 2 + 8x - 2 = 360
This can be simplified into this once you combine like terms:
46x + 176 = 360
Subtract 176 from 360, which will give you:
46x = 184
Divide by 46 on both sides, resulting in:
x = 4
To check the answer, plug in 4 for x:
15(4) + 15(4) + 90 + 90 + 8(4) - 2 + 8(4) - 2 = 360
60 + 60 + 90 + 90 + 32 - 2 + 32 - 2 = 360
120 + 180 + 60 = 360
360 = 360, x is 4
Hope this made sense!