The angles of a quadrilateral are in AP whose common difference is 101010. Find the smallest angle of the quadrilateral.


Answer:

757575

Step by Step Explanation:
  1. The angles of the quadrilateral are in AP with the common difference of 101010.

    Let the angles be x,x+10,x+20,x,x+10,x+20,x,x+10,x+20, and x+30x+30x+30.
  2. We know that the sum of all angles of a quadrilateral is 360360360. Thus [Math Processing Error]
  3. Let us now substitute the value of xx to get the four angles. [Math Processing Error]
  4. Hence, the smallest angle of the quadrilateral is 7575 .

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