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Two lines are perpendicular to each other. If one line makes an angle of 30 degr

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Question: Two lines are perpendicular to each other. If one line makes an angle of 30 degrees with the horizontal, what is the angle made by the other line with the horizontal? (2022)

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Correct Answer: 90 degrees

Exam Year: 2022

Solution: 

If two lines are perpendicular, the sum of their angles is 90 degrees. Therefore, if one line makes an angle of 30 degrees with the horizontal, the other line must make an angle of 90 - 30 = 60 degrees with the horizontal.

Two lines are perpendicular to each other. If one line makes an angle of 30 degr

Practice Questions

Q1
Two lines are perpendicular to each other. If one line makes an angle of 30 degrees with the horizontal, what is the angle made by the other line with the horizontal? (2022)
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

Two lines are perpendicular to each other. If one line makes an angle of 30 degrees with the horizontal, what is the angle made by the other line with the horizontal? (2022)
  • Step 1: Understand that two lines are perpendicular if they meet at a right angle (90 degrees).
  • Step 2: Know that the angles made by two perpendicular lines add up to 90 degrees.
  • Step 3: Identify the angle of the first line with the horizontal, which is given as 30 degrees.
  • Step 4: Use the formula for perpendicular lines: Angle of first line + Angle of second line = 90 degrees.
  • Step 5: Substitute the known angle into the formula: 30 degrees + Angle of second line = 90 degrees.
  • Step 6: Solve for the angle of the second line: Angle of second line = 90 degrees - 30 degrees.
  • Step 7: Calculate the result: Angle of second line = 60 degrees.
  • Perpendicular Lines – When two lines are perpendicular, the angles they make with a horizontal line add up to 90 degrees.
  • Angle Measurement – Understanding how to measure angles and their relationships in geometry.
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