Question

Help please I dont understand this​

Answer 1

`x=6`

Explanation:

The lengths of line segments
`\overline{AB}` and
`\overline{AC}` because of the two segments and two angles marked as equal in the diagram. Because of this, the arcs
`\widehat{AB}` and
`\widehat{AC}` are equal.

Since there are 360 degrees in a circle, we can now set up the following equation:

`(10x-23)+(10x-23)+106=180,\\20x-46+106=180,\\20x+60=180,\\20x=120,\\x=\boxed{6}`