Question

Solve for x.
Geometry

Answer 1

x =17

Explanation:

Given shape is of a irregular hexagon.

Sum of all angles of an irregular hexagon

`=(6 - 2) * 180 \degree = 4 * 180 \degree = 720 \degree \\ \\ \therefore \: (6x - 2)\degree + (7x + 19)\degree + 116 \degree \\ \: \: \: + (5x + 36)\degree + (8x - 1)\degree + 110 \degree \\ \: \: \: = 720 \degree \\ \\ \therefore \:(26x + 52)\degree + 226\degree = 720 \degree \\ \\ \therefore \:26x\degree + 278\degree = 720 \degree \\ \\ \therefore \:26x\degree = 720 \degree - 278\degree \\ \\ \therefore \:26x\degree = 442 \degree \\ \\ \therefore \:x = (442\degree)/(26\degree) \\ \\ \huge \red{ \boxed{\therefore \:x = 17}}`