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With AB = AC in triangle ABC, point D lies on AC such that BD bisects angle B, and it is found that BD = BC.
Given that angle A = 36°, verify the figure by finding angle BDC, in degrees.

Class 9Properties of Isosceles TrianglesGeometry — Triangles
  • A72
  • B144
  • C65
  • D79

Step-by-Step Solution

Base angles ABC = ACB = deg. In triangle BDC, BD = BC means it is isosceles with angle BDC = angle BCD = 72°.
Answer: A) 72

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