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HURRY plssss!!!
find x

HURRY plssss!!! find x-example-1

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4 votes

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\°

User Sanjay Kumar Singh
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