An exterior angle of a triangle is 105∘ and its two interior opposite angles are equal. Find the value of equal angle.
A
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B
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C
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D
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Solution
The correct option is B We know that, exterior angle of a triangle is sum of its interior opposite angles. So, ∠C=∠A+∠B ∠A=∠B (Given in question) Exterior angle = ∠C=105∘ Let ∠A=x 105∘=x+x 105∘=2x x=52.5∘