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A kite-maker forms an isosceles triangle ABC with AB = AC. He bends the apex so that the vertex angle is reduced to half of its base angle.
What is the vertex angle, in degrees?

Class 9Properties of Isosceles TrianglesGeometry — Triangles
  • A36
  • B32
  • C72
  • D40

Step-by-Step Solution

Let base angle = , vertex = . Then , vertex = 36°.
Answer: A) 36

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