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Two parallel lines are cut by a transversal. Two co-interior angles are and 105°. Find .

Class 7Lines and AnglesLines and Angles
  • A75°
  • B105°
  • C15°
  • D255°

Step-by-Step Solution

Co-interior angles between parallels are supplementary. → °.
Answer: A) 75°

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°).

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