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In the figure, if angle 1 = 70 degrees and lines a and b are parallel, what is t

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Question: In the figure, if angle 1 = 70 degrees and lines a and b are parallel, what is the measure of angle 2?

Options:

  1. 70 degrees
  2. 110 degrees
  3. 180 degrees
  4. 90 degrees

Correct Answer: 110 degrees

Solution: 

Angle 2 is corresponding to angle 1, so angle 2 = 70 degrees.

In the figure, if angle 1 = 70 degrees and lines a and b are parallel, what is t

Practice Questions

Q1
In the figure, if angle 1 = 70 degrees and lines a and b are parallel, what is the measure of angle 2?
  1. 70 degrees
  2. 110 degrees
  3. 180 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In the figure, if angle 1 = 70 degrees and lines a and b are parallel, what is the measure of angle 2?
  • Step 1: Identify that lines a and b are parallel.
  • Step 2: Recognize that angle 1 is given as 70 degrees.
  • Step 3: Understand that when two lines are parallel, corresponding angles are equal.
  • Step 4: Identify that angle 2 is a corresponding angle to angle 1.
  • Step 5: Conclude that since angle 1 = 70 degrees, angle 2 must also equal 70 degrees.
  • Corresponding Angles – When two parallel lines are cut by a transversal, the angles in corresponding positions are equal.
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