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  1. In a triangle ABC, the side BC is extended up to D. Such that CD = AC, if ∠BAD = 109° and ∠ACB = 72° then the value of ∠ABC is
    1. 35°
    2. 60°
    3. 40°
    4. 45°
Correct Option: A

On the basis of given in question , we draw a figure triangle ABC ,

∠ACD = 180° – ∠ACB (Linear Pair)
∠ACD = 180° – 72° = 108°

∠CAD = ∠ADC =
72
= 36 cm
2

∴ ∠ABC = 180° – 109° – 36° = 35°



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