Answer:
x=40
Explanation:
In the picture, it seems that angles BHC, CHD, and DHE form a line, 180 degrees. So to solve, set up an equation:
![(2x+5)+55+40=180](https://img.qammunity.org/2022/formulas/mathematics/college/6sijughhyye8nqu2x0fmfaqfr0hk9y5tq2.png)
Take off the parentheses and solve.
Subtract 5, 55 and 40 from both sides, or add them together, then subtract.
5+55+40=100
You get:
![2x=80](https://img.qammunity.org/2022/formulas/mathematics/college/rzv1a3387acitbk9vusovtasu68i6b2tvv.png)
Divide both sides by 2
You get:
![[x=40]](https://img.qammunity.org/2022/formulas/mathematics/college/eekfflideb4wymix5v6fj3caizhhj9xthz.png)
I hope this helps!