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What is angle x?

 

 Aug 22, 2020
 #1
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The sum of angles in a pentagon is 540 degrees. Therefore 540/5= 108 degrees in each regular angle. We know there is only one way to draw a line from one point to the other if it is straight, so angle x is valid. We can split this into 2 congruent triangles, one not so congruent. Draw line EB, and get triangle EAB... and I will name angle D measure y. Therefore x+y+108=180, and x+y=72. We want to know what y is. Angle EBA=x, so angle AEB=y and angle A is 108. Also, AED= 108-y, and

 Aug 22, 2020
 #2
avatar+1421 
+2

The sum of pentagon's interior angles is 540º

 

540º / 5 = 108º

 

∠ x = ( 180º - 108º ) / 2  smiley

 Aug 22, 2020

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