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If angle C is 30 degrees and is an interior angle on the same side of the transv

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Question: If angle C is 30 degrees and is an interior angle on the same side of the transversal as angle D, what is the measure of angle D if the lines are parallel?

Options:

  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Correct Answer: 150 degrees

Solution: 

Since angle C and angle D are interior angles on the same side of the transversal, they are supplementary. Therefore, angle D = 180 - 30 = 150 degrees.

If angle C is 30 degrees and is an interior angle on the same side of the transv

Practice Questions

Q1
If angle C is 30 degrees and is an interior angle on the same side of the transversal as angle D, what is the measure of angle D if the lines are parallel?
  1. 30 degrees
  2. 150 degrees
  3. 90 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If angle C is 30 degrees and is an interior angle on the same side of the transversal as angle D, what is the measure of angle D if the lines are parallel?
  • Step 1: Identify that angle C is 30 degrees.
  • Step 2: Understand that angle C and angle D are interior angles on the same side of the transversal.
  • Step 3: Recall that when two lines are parallel, interior angles on the same side of the transversal are supplementary, meaning they add up to 180 degrees.
  • Step 4: Set up the equation: angle C + angle D = 180 degrees.
  • Step 5: Substitute the value of angle C into the equation: 30 + angle D = 180.
  • Step 6: Solve for angle D by subtracting 30 from both sides: angle D = 180 - 30.
  • Step 7: Calculate the result: angle D = 150 degrees.
  • Interior Angles and Transversals – When two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
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