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Parallel lines and angles

Dynamic tasks on corresponding, alternate interior and same-side interior angles, including comprehension of geometric relationships.

Questions: 10Estimated time: 14 minutes
Parallel lines and angles
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Sample questions

  1. A transversal crosses two parallel lines. One corresponding angle is ___°. Find the other corresponding angle.
  2. One alternate interior angle is ___°. Find the equal alternate interior angle. The lines are parallel.
  3. One same-side interior angle is ___°. Find the other same-side interior angle.
  4. Same-side interior angles are (x + ___)° and x°. Their total measure is ___°. Find x.
  5. Which statement about corresponding angles formed by parallel lines is always true?

Parallel lines and angles

When a transversal crosses parallel lines, corresponding and alternate interior angles are equal, while same-side interior angles total 180°. These relationships determine angles without measurement.

Working method

Mark the known angle, identify its relationship with the unknown and then use equality or supplementation to 180°. Vertically opposite angles at an intersection are also equal.

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