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Question 12

A quadrilateral has interior angles of 85 degrees, 95 degrees, 100 degrees and one unknown angle. Select all the statements that are true of this quadrilateral.

  1. The three stated angles come to 280 degrees in total.Correct answer
  2. The unknown angle measures 280 degrees.
  3. The unknown angle measures 80 degrees.Correct answer
  4. The unknown angle is found by taking the three stated angles away from 180 degrees.

Explanation

Adding 85, 95 and 100 gives 280 degrees, and since the four interior angles must reach 360 degrees the unknown one is 360 minus 280. Starting from 180 degrees applies a three-sided total to a four-sided shape, which would leave a negative amount for the missing angle.

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Question 12: A quadrilateral has interior angles of 85 degrees, 95… · Geometry Basics · Questena