- A128
- B70
- C64
- D58
Step-by-Step Solution
Corresponding angles between parallel lines are equal, so the corresponding angle is also 64°.
Answer: C) 64
Two parallel lines are cut by a transversal. One angle is 64°. What is the measure of its corresponding angle (in degrees)?
Class 7Lines and AnglesLines and Angles
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.
- **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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