Answer:
x = 172
Explanation:
A circle is 360 degrees
The angles will add to 360 degrees
x/2 + 59 + x/4 + x = 360
Subtract 59 from each side
x/2 + x/4 +x +59-59 = 360 -59
x/2+x/4+x = 301
Combine like terms
2x/4 +x/4 +4x/4 = 301
7/4x = 301
Multiply each side by 4/7 to isolate x
4/7 * 7/4 x = 301 *4/7
x =172