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

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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