Question

HURRY plssss!!! find x

Answer 1

Answer: $x=115\°$

Step-by-step explanation:

As you can observe in the figure, the angle "x" is formed  by two intersecting chords in the circle.

It is important to remember that, by definition:

$Angle\ formed\ by\ two\ intersecting\ Chords=\frac{1}{2}(Sum\ of\ Intercepted\ Arcs)$

In this case you can identify that the Intercepted Arcs are:

$AD=140\°\\BC=90\°$

Then:

$x=\frac{1}{2}(AD+BC)$)

Therefore, substituting values into the formula and evaluating, you get that the measure of the angle "x" is:

$x=\frac{1}{2}(140\°+90\°)\\\\x=\frac{1}{2}(230\°)\\\\x=115\°$