If the acute angle between two intersecting lines is , what is the measure of the obtuse angle formed by the same lines?
Answer
The correct answer is — Thus the obtuse angle measures .
Step-by-step solution
- The two lines form two pairs of vertical angles; one acute and one obtuse.
- The sum of the acute and obtuse angles is .
- Compute .
- 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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