Triangles · Class 9 · CBSE Mathematics

If the vertical angle of an isosceles triangle is 70^circ, then each of its base angles is:

Practice question from Triangles (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-DE3231

If the vertical angle of an isosceles triangle is 70∘70^\circ, then each of its base angles is:

  1. A.55∘55^\circCorrect answer
  2. B.70∘70^\circ
  3. C.110∘110^\circ
  4. D.50∘50^\circ

Solution

Let each base angle be xx. The sum of angles in a triangle is 180∘180^\circ. Therefore, 70∘+x+x=180∘70^\circ + x + x = 180^\circ, which implies 2x=110∘2x = 110^\circ, giving x=55∘x = 55^\circ.

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