Question

Solve for X with intersecting chords

Answer 1

We apply the secant-angle theorem,

$\frac{156+54}{2}=105^0$

Then,

$\begin{gathered} x+105^0=180^0\text{ (angle in a straight line)} \\ x=180^0-105^0 \\ x=7^{}5^o \end{gathered}$

Therefore, x=75 degr