In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees,

Practice Questions

Q1
In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?
  1. 120 degrees
  2. 100 degrees
  3. 110 degrees
  4. 130 degrees

Questions & Step-by-Step Solutions

In a quadrilateral, if three angles are 70 degrees, 80 degrees, and 90 degrees, what is the measure of the fourth angle?
  • Step 1: Understand that a quadrilateral has four angles.
  • Step 2: Know that the total sum of all angles in a quadrilateral is 360 degrees.
  • Step 3: Add the three given angles together: 70 degrees + 80 degrees + 90 degrees.
  • Step 4: Calculate the sum: 70 + 80 = 150, then 150 + 90 = 240 degrees.
  • Step 5: Subtract the sum of the three angles from 360 degrees: 360 - 240 degrees.
  • Step 6: Calculate the result: 360 - 240 = 120 degrees.
  • Step 7: Conclude that the measure of the fourth angle is 120 degrees.
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