eight isosceles trapeziums surround a regular octagon. what is the measure of angle B in trapeziumABCD?
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The figure is an octagon
Sum of all the angles = 180×(8-6)=1080°
Each angle of the figure = 135
∠PCV=135°
(Internal angel of a regular octagon)
∠DCV
=180-∠PCV
=180−135
=45°
(PCD is a straight line)
∴ ∠B=∠DCV=45°
. (Prop. of isos. trapezium)
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