Question

Find the value of x in the picture

Answer 1

Answer: $x=128\°$

Step-by-step explanation:

It is important to remember the following:

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

In this case 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:

$x=\frac{1}{2}(202\°+54\°)\\\\x=\frac{1}{2}(256\°)\\\\x=128\°$