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Polygon ABCDEF is a regular hexagon. What is the measure in degrees of angle ABF?

 Dec 4, 2018
 #1
avatar+94545 
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The measure of FAB is just measure of one of the interior angles = 120°

 

And..in triangle FAB,  AB  and AF  form two equal sides....so the angles opposite these sides are equal.....so....angle AFB = angle ABF

 

So...

 

Angle AFB + angle ABF + angle FAB =  180

 

2 Angle ABF +  120  = 180

 

2 Angle ABF = 60       divide both sides by 2

 

Angle ABF =  30°

 

 

cool cool cool

 Dec 4, 2018

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