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Circles!!! NEED HELP!!!

Picture:

Circles!!! NEED HELP!!! Picture:-example-1
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User WeSt
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1 Answer

1 vote

Answer:
x=105\°

Explanation:

You can identify from the given figure that the angle that measures 70 degrees is formed by two intersecting Chords.

It is important to remembe that, by definition:


Angle\ Formed\ by\ Two\ Chords =(1)/(2)(Sum\ of\ Intercepted\ Arcs)

Based on this, you know that:


70\°=(35\°+x)/(2)

Having this equation, the final step is to solve for "x" in order to find its value. You get that this is:


(70\°)(2)=35\°+x\\\\140\°=35\°+x\\\\140\°-35\°=x\\\\x=105\°

answered
User Vansan
by
7.8k points

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