Question

find the lettered angle in this figure​

Answer 1

Hii. ,

y = 180 - 120 ( linear pair )

y = 60

x = 40 + 60 ( sum of interior opposite angle is equal to exterior angle )

x= 100

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Answer 2

y + ∠cbd = 180°       [linear pair]

y+ 120 = 180

y = 180 -120

y = 60°

now, in Δ abc

using angle sum property of triangle

∠cab + y + ∠bca = 180°

40° + 60° + ∠bca = 180°

∠bca = 180° - 100°

∠bca = 80°

now,

x + ∠bca = 180°     [linear pair]

x + 80 = 180

x = 180 - 80

x = 100