ABC is an acute angled isosceles triangle. Two equal sides AB and AC lie on the lines 7x-y-3=0 and x+y-5=0. If is one of the equal angles, then what is equal to?

NDA 2024 Mathematics question

is an acute angled isosceles triangle. Two equal sides and lie on the lines and . If is one of the equal angles, then what is equal to?

Answer: (B)

The slopes of the lines are 7 and , so the acute angle between them satisfies ; since the triangle is acute, this is the vertex angle . The

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Question ID VK-029834