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If two lines intersect and one of the angles formed is 40 degrees, what is the m

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Question: If two lines intersect and one of the angles formed is 40 degrees, what is the measure of the adjacent angle? (2020)

Options:

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

Correct Answer: 140 degrees

Exam Year: 2020

Solution: 

Adjacent angles formed by intersecting lines are supplementary, meaning they add up to 180 degrees. Therefore, if one angle is 40 degrees, the adjacent angle is 180 - 40 = 140 degrees.

If two lines intersect and one of the angles formed is 40 degrees, what is the m

Practice Questions

Q1
If two lines intersect and one of the angles formed is 40 degrees, what is the measure of the adjacent angle? (2020)
  1. 40 degrees
  2. 140 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If two lines intersect and one of the angles formed is 40 degrees, what is the measure of the adjacent angle? (2020)
  • Step 1: Understand that when two lines intersect, they form four angles.
  • Step 2: Identify that adjacent angles (angles next to each other) are formed by these intersecting lines.
  • Step 3: Know that adjacent angles are supplementary, which means they add up to 180 degrees.
  • Step 4: If one angle is given as 40 degrees, write down the equation: Angle 1 + Angle 2 = 180 degrees.
  • Step 5: Substitute the known angle into the equation: 40 degrees + Angle 2 = 180 degrees.
  • Step 6: Solve for Angle 2 by subtracting 40 degrees from 180 degrees: Angle 2 = 180 - 40.
  • Step 7: Calculate the result: Angle 2 = 140 degrees.
  • Supplementary Angles – Adjacent angles formed by intersecting lines add up to 180 degrees.
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