Question

Find the value of x.

Answer 1

Answer:
`x=76\°`

Explanation:

By definition the angle formed by the intersection of two chords inside a circle is:

`Angle\ formed\ by\ two\ Chords=(sum\ of\ intercepted\ Arcs)/(2)`

You can observe in the figure that the angle formed by the intersection of the two chords measures 94°, and the intercepteed arcs are: x° and 112°.

Therefore, you need to substitute these values into the formula and solve for "x to find its value. Then:

`94\°=(x+112\°)/(2)\\\\(94\°)(2)=x+112\°\\\\188\°-112\°=x\\\\x=76\°`