Question

Help please I dont understand this​

Answer 1

Answer:

$x=6$

Step-by-step 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:

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