Question

Solve for X with intersecting chords

Answer 1

We apply the secant-angle theorem,

`(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