Lines and Angles · Class 9 · CBSE Mathematics

In a triangle, the measure of one exterior angle is 110° and one of its interior opposite angles is 40°. What is the measure of the other interior op…

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

medium · MCQ · Q-7EAF4B

In a triangle, the measure of one exterior angle is 110° and one of its interior opposite angles is 40°. What is the measure of the other interior opposite angle?

  1. A.40°
  2. B.70°Correct answer
  3. C.110°
  4. D.150°

Solution

By the exterior angle property of a triangle, the measure of an exterior angle is equal to the sum of the measures of its two interior opposite angles. Therefore, 110∘=40∘+other angle110^\circ = 40^\circ + \text{other angle}. This gives the other interior opposite angle as 110∘−40∘=70∘110^\circ - 40^\circ = 70^\circ.

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