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If the acute angle between two intersecting lines is , what is the measure of the obtuse angle formed by the same lines?

medium 3 marks Class 9 · Mathematics · Lines and Angles
Answer

The correct answer is — Thus the obtuse angle measures .

Step-by-step solution

  1. The two lines form two pairs of vertical angles; one acute and one obtuse.
  2. The sum of the acute and obtuse angles is .
  3. Compute .
  4. Thus the obtuse angle measures .
Common mistake: Assuming both angles are acute

Concept tested: Vertical angles

Published · How this solution was prepared and checked

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