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Lines and Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsLines and Triangles1 Mark
Question
An exterior angle of a triangle is 110º and its two interior opposite angles are equal. Each of these equal angles is:
  1. $70^\circ$
  2. $55^\circ$
  3. $35^\circ$
  4. $27\frac{1^\circ}{2}$
✓

Answer

  1. $55^\circ$

Solution:

Let each interior opposite angle be x.

Then, x + x = 110° (Exterior angle property of a triangle)

⇒ 2x = 110°

⇒ x = 55°

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