Find x Answer the question pls

Question

asked Oct 24, 2020 158k views

1 Answer

Figurassa · Answer 1 · 2020-10-28T22:28:05+0000

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:

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