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Given two parallel lines and a transversal, if one of the interior angles measur

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Question: Given two parallel lines and a transversal, if one of the interior angles measures 40 degrees, what is the measure of the corresponding angle?

Options:

  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 40 degrees

Solution: 

Corresponding angles are equal when two parallel lines are cut by a transversal. Therefore, the corresponding angle also measures 40 degrees.

Given two parallel lines and a transversal, if one of the interior angles measur

Practice Questions

Q1
Given two parallel lines and a transversal, if one of the interior angles measures 40 degrees, what is the measure of the corresponding angle?
  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

Given two parallel lines and a transversal, if one of the interior angles measures 40 degrees, what is the measure of the corresponding angle?
  • Step 1: Identify the two parallel lines and the transversal line that crosses them.
  • Step 2: Locate the interior angle that measures 40 degrees.
  • Step 3: Understand that corresponding angles are angles that are in the same position relative to the parallel lines and the transversal.
  • Step 4: Since the lines are parallel, the corresponding angle to the 40-degree angle is equal to it.
  • Step 5: Conclude that the measure of the corresponding angle is also 40 degrees.
  • Corresponding Angles – When two parallel lines are intersected by a transversal, the angles that are in the same relative position at each intersection are called corresponding angles, and they are equal.
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