Question

Find the value of x in the following figure​

Answer 1

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