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Can two obtuse angles be supplementary to each other?

Class 7Lines and AnglesLines and Angles
  • ANo, two obtuse angles can never be supplementary.
  • BYes, always.
  • CYes, if both are 100°.
  • DOnly if one is acute.

Step-by-Step Solution

Each obtuse angle is more than 90°, so two of them add to more than 180°. They can never sum to exactly 180°.
Answer: A) No, two obtuse angles can never be supplementary.

Key idea: Parallel lines and a transversal

When a transversal crosses two **parallel** lines, eight angles form (four at each intersection). They come in special pairs:

- **Corresponding angles**: same position at each intersection (e.g. both top-left). **Equal**.
- **Alternate interior angles**: between the parallel lines, on opposite sides of the transversal. **Equal**.
- **Alternate exterior angles**: outside the parallel lines, on opposite sides of the transversal. **Equal**.
- **Co-interior (same-side interior) angles**: between the parallel lines, on the same side of the transversal. **Supplementary** (sum to 180°).

These are the rules you'll use most. Sketch the figure and label what you know — the rest follows quickly.

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