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Suppose an isosceles triangle has one angle of 56°.
Considering that 56° could be a base angle or the vertex angle, how many distinct angle sets (triangles) are possible?

Class 9Properties of Isosceles TrianglesGeometry — Triangles
  • A2
  • B4
  • C3
  • D1

Step-by-Step Solution

Case 1: 56 is a base angle -> angles 56, 56, 68. Case 2: 56 is the vertex -> angles 56, 62, 62. Both valid, so 2 distinct sets.
Answer: A) 2

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