Can someone please help me find the value of X?

Question

asked Mar 13, 2023 180k views

1 Answer

Zgyarmati · Answer 1 · 2023-03-19T13:54:14+0000

To find the measure of angle x, we use the intersecting chords theorem in a circle.

The theorem is shown below;

$x=(1)/(2)(m\angle AB+m\angle CD)$

Thus, using this theorem and comparing to the question, we have;

$\begin{gathered} x=(1)/(2)(80+60) \\ x=(1)/(2)(140) \\ x=70^0 \end{gathered}$

Therefore, the value of x = 70 degrees.