Find the value of x in the picture

Question

asked Nov 28, 2020 154k views

1 Answer

Vimal Bera · Answer 1 · 2020-12-02T14:09:40+0000

Answer:
$x=129\°$

Explanation:

By definition, it is important to remember that:

$Angle\ formed\ by\ two\ chords=(1)/(2)(Sum\ of\ intercepted\ arcs)$ )

You can observe in the figure that "x" is an Angle formed by two chords, therefore, you can find its value applying the formula.

Therefore, the value of "x" is this:

$x=(1)/(2)(204\°+54\°)\\\\x=(1)/(2)(258\°)\\\\x=129\°$