Question

HURRY plssss!!!
find x

Answer 1

Answer:
`x=115\°`

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=(1)/(2)(Sum\ of\ Intercepted\ Arcs)`

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

`AD=140\°\\BC=90\°`

Then:

`x=(1)/(2)(AD+BC)`)

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

`x=(1)/(2)(140\°+90\°)\\\\x=(1)/(2)(230\°)\\\\x=115\°`