In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and ang

Practice Questions

Q1
In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and angle C = 90 degrees, what is the measure of angle D?
  1. 80 degrees
  2. 90 degrees
  3. 100 degrees
  4. 110 degrees

Questions & Step-by-Step Solutions

In a quadrilateral ABCD, if angle A = 70 degrees, angle B = 110 degrees, and angle C = 90 degrees, what is the measure of angle D?
  • Step 1: Understand that a quadrilateral has four angles.
  • Step 2: Know that the total sum of the angles in a quadrilateral is always 360 degrees.
  • Step 3: Add the measures of the given angles: angle A (70 degrees) + angle B (110 degrees) + angle C (90 degrees).
  • Step 4: Calculate the sum: 70 + 110 + 90 = 270 degrees.
  • Step 5: Subtract the sum of the known angles from 360 degrees to find angle D: 360 - 270 = 90 degrees.
  • Step 6: Conclude that angle D measures 90 degrees.
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