25. Prove that |x-yl<8 if and only if y-8<n<y+8
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Answer:
Solution:
From the given figure, we can see;
∠AOC, ∠BOE, ∠COE and ∠COE, ∠BOD, ∠BOE form a straight line each.
So, ∠AOC + ∠BOE +∠COE = ∠COE +∠BOD + ∠BOE = 180°
Now, by substituting the values of ∠AOC + ∠BOE = 70° and ∠BOD = 40° we get:
70° +∠COE = 180°
∠COE = 110
Similarly,
110° + 40° + ∠BOE = 180°
∠BOE = 30°
answer is correct
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