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FInd angle DEB.

 

 Aug 4, 2020
 #1
avatar+28021 
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What do you know about cyclical quadrilaterals in a circle ?  ( opposite angles sum to 180o )

    What do you know about interna angles in a pentagon?  (108o )

 

Now look at this diagram:

 

 Aug 4, 2020
 #2
avatar+1154 
+1

an angle in a regular pentagon is 108o and the triangle is isosceles so the measure of DEB is 108-((180-108)/2)=108-(72/2)=108-36=72o sp we have that \(\angle DEB\) is 72o or \(\boxed{72^\circ}\).

 Aug 4, 2020

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