If ABCDE is a convex pentagon, then the supplement of half the sum of angles ∠BEC, ∠DAC, ∠ACE, ∠ADB and ∠DBE is
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are you seen your image in mirror
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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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