# 1. Triangle ABC is an

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Let ABC be any triangle and P be a point inside it such that ∠PAB = π/18, ∠PBA = π/9, PCA = π/6,∠PAC = 2π/9. Let  ∠PCB = x.

1.  Triangle ABC is an

(A)  equilateral triangle

(B)  isosceles triangle

(C)  right-angled triangle

(D)  None of these

3.  Which of the following is true?

(A)  BC > AC

(B)  BC < AB

(C)  AC > AB

(D)  BC = AC

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Correct option  (C)(B)(C)

1.  ∠BAC = ∠ACB = 50°

Therefore, ABC is an isosceles triangle.

2. ∠ABC = 80°

Therefore, AC is the longest side, AC > AB.