1 Answer

Vansan · Answer 1 · 2020-02-21T04:25:17+0000

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:

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

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