Question

Find the value of x.

Answer 1

Answer: $x=76\°$

Step-by-step explanation:

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

$Angle\ formed\ by\ two\ Chords=\frac{sum\ of\ intercepted\ Arcs}{2}$

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:

$94\°=\frac{x+112\°}{2}\\\\(94\°)(2)=x+112\°\\\\188\°-112\°=x\\\\x=76\°$