Q. 3 F4.4( 16 Votes )

# Find the value of x in each of the following diagrams:

Answer :

Given: ∠BLC = 65° and ∠BLO = y

∠EOD = y and ∠FOD = x

We know by proposition 1,

∠BLC + ∠BLO = 180°

65° + y = 180°

y = 180°-65°

y = 115°

We know by proposition 1,

∠EOD + ∠FOD = 180°

y + x = 180°

115° + x = 180°

x = 180° - 115°

x = 65°

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