Step-by-step explanation:
Given : Question related to trapezium
To find : Missing angle , length & Median
Solution:
Sum of adjacent angle between parallel lines = 180°
=> ∠M + ∠F = 180°
=> 67° + ∠F = 180°
=> ∠F = 113°
∠M + ∠D = 180°
=> ∠M + 108° = 180°
=> ∠M = 72°
Length of Diagonal of isosceles trapezium are equal
if non parallel sides are equal in length
MC = FK = 25
JF = DM = 22
Length of median
= (1/2)(sum of Parallel lines)
DP = (1/2)(GH + CN) = (1/2)(14 + 44) = 29
SD = (1/2)(RJ + YH) = (1/2)(14 + 34) = 24
FT = (1/2)(KA + ML)
=> 22 = (1/2)(32 + ML)
=> 44 = 32 + ML
=> ML = 12
NC = (1/2)(BL + KT)
=> 27 = (1/2)(15 + KT)
=> 54 = 15 + KT
=> KT = 39
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