Math, asked by sandhya6075, 5 hours ago

If ABCDE is a convex pentagon, then the supplement of half the sum of angles ∠BEC, ∠DAC, ∠ACE, ∠ADB and ∠DBE is​

Answers

Answered by anshika061210
0

Answer:

are you seen your image in mirror

Answered by Syamkumarr
0

Answer:

Answer is 360°

Step-by-step explanation:

Given ABCDE is a concave pentagon

a polygon with Five sides (straight lines) and  five angles is a pentagon

a concave pentagon ABCDE  is regular pentagon with equal sides and   equal interior angles

the interior angle of a polygon = (n-2)180 ÷n ( n is number of side )

  interior angle of a pentagon = (5-2)180 ÷ 5

                                                   = 3(180) ÷5

 Supplement of angle: if two angles are supplementary then sum of two angles is 180°

  ∴ supplementary angle of 108 =   180- 108= 72°

   sum of the supplementary angle of ( ∠BEF, ∠DAC, ∠ACE, ∠ADB and ∠DBE) pentagon =  72°+ 72°+ 72° + 72°+ 72°= 360°

 

 

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