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

Lightning Dec 4, 2018

#1**+1 **

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°

CPhill Dec 4, 2018