In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, wh

Practice Questions

Q1
In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?
  1. C and D must be 100 degrees
  2. C and D must be 180 degrees
  3. C and D must be 90 degrees
  4. C and D must be 360 degrees

Questions & Step-by-Step Solutions

In a quadrilateral ABCD, if angle A is 70 degrees and angle B is 110 degrees, what can be inferred about the sum of angles C and D?
  • Step 1: Understand that a quadrilateral has four angles: A, B, C, and D.
  • Step 2: Know that the total sum of all angles in a quadrilateral is always 360 degrees.
  • Step 3: Identify the given angles: angle A is 70 degrees and angle B is 110 degrees.
  • Step 4: Add the measures of angles A and B together: 70 + 110 = 180 degrees.
  • Step 5: Subtract the sum of angles A and B from the total sum of angles in a quadrilateral: 360 - 180 = 180 degrees.
  • Step 6: Conclude that the sum of angles C and D is 180 degrees.
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