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If two lines intersect and form a pair of vertical angles measuring 45 degrees,

Practice Questions

Q1
If two lines intersect and form a pair of vertical angles measuring 45 degrees, what is the measure of the other pair of vertical angles?
  1. 45 degrees
  2. 90 degrees
  3. 135 degrees
  4. 180 degrees

Questions & Step-by-Step Solutions

If two lines intersect and form a pair of vertical angles measuring 45 degrees, what is the measure of the other pair of vertical angles?
  • Step 1: Understand that vertical angles are the angles that are opposite each other when two lines intersect.
  • Step 2: Note that vertical angles are always equal in measure.
  • Step 3: Since one pair of vertical angles measures 45 degrees, the angle opposite to it (the other vertical angle) must also measure 45 degrees.
  • Step 4: Conclude that the other pair of vertical angles also measures 45 degrees.
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