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If two parallel lines are cut by a transversal and one of the corresponding angl

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Question: If two parallel lines are cut by a transversal and one of the corresponding angles measures 30°, what is the measure of the other corresponding angle?

Options:

  1. 30°
  2. 150°
  3. 60°
  4. 90°

Correct Answer: 30°

Solution:

Corresponding angles are equal, so the other corresponding angle also measures 30°.

If two parallel lines are cut by a transversal and one of the corresponding angl

Practice Questions

Q1
If two parallel lines are cut by a transversal and one of the corresponding angles measures 30°, what is the measure of the other corresponding angle?
  1. 30°
  2. 150°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If two parallel lines are cut by a transversal and one of the corresponding angles measures 30°, what is the measure of the other corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal that cuts across them.
  • Step 2: Locate the corresponding angle that measures 30°.
  • Step 3: Recall the property of corresponding angles: they are equal when two parallel lines are cut by a transversal.
  • Step 4: Since the corresponding angle measures 30°, the other corresponding angle must also measure 30°.
  • Corresponding Angles – When two parallel lines are cut by a transversal, the angles in matching corners (corresponding angles) are equal.
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