CBSE Class 8 Answered
ABCDE is a regular pentagon.Diagonals AD divides (angle CDE) into two parts .
Find the ratio of ( angle ADE/angle ADC)
ANS - 1:2
Asked by Mohdayaz9921 | 30 Dec, 2018, 06:52: AM
Expert Answer
Figure shows the regular pentagon, with diagonal AD divides 
CDE into two parts.
CDE into two parts.Interior angle θ of regular pentagon :- (n-2)×180 = n×θ , where n = 5 is number of sides of pentagon
hence we get θ = 108° as shown in figure for BCD.
BCD. Diagonal AD is parallel to side BC. Hence ADC = 180-108 = 72°
ADC = 180-108 = 72°ADE = 108 - ADC = 108-72 = 36°hence ADE : ADC = 36 : 72 = 1 : 2
ADE : ADC = 36 : 72 = 1 : 2
Answered by Thiyagarajan K | 30 Dec, 2018, 07:58: AM
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