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  1. In the given figure, which of the following is true :


    1. x = α + β + γ
    2. x + β = α + γ
    3. x + γ = β + α
    4. x + α = β + γ
    5. None of these
Correct Option: A

From above figure , we can see that
Join B and D and produce BD to E
Then, p + q = β and s + t = x
We know that , Exterior angle = Sum of two interior angle
Now, s = p + α (Exterior angle of a Δ prop.)
Similarly, t = q + γ (Exterior angle of a Δ prop.)
Adding, s + t = p + q + α + γ
Putting s + t = x and p + q = β ,
Hence x = α + β + γ



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