Question

Find x
Answer the question pls

Answer 1

Answer:
`x=115\°`

Explanation:

Observe in the figure that the angle "x" is formed by two intersecting chords in the circle.

By definition:

`Angle\ formed\ by\ two\ intersecting\ Chords=(1)/(2)(Sum\ of\ Intercepted\ Arcs)`

In this case you know that the Intercepted Arcs are:

`AD=140\°\\BC=90\°`

Then, you know that:

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

Finally, 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\°`