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As before consider quadrilateral ABCD...

As before consider quadrilateral ABCD Let P . Be any point in its interior .Join P to vertices A,B,C and D . In the figure ,consider `DeltaPAB` .
From this we see `x=180^(@)-mangle2-mangle3`.
Similarly from `DeltaPBC,y=180^(@)-mangle4-mangle5`, from `DeltaPCD`
`z=180^(@)-mangle6-mangle7and` from `DeltaPDA`
`w=180^(@)-mangle8-mangle1`
Use this to find the total measure `mangle1+angle2+.......mangle8`, does it help you to arive at the result ?
Remember `anglex+angley+anglez+anglew=360^(@)`

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NAND LAL PUBLICATION-UNDERSTANDING QUADRILATERALS -SAMPLE PAPER FOR PRACTICE
  1. As before consider quadrilateral ABCD Let P . Be any point in its ...

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  2. Correct the statements given below . Parallel sides of the iso...

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  3. Sum of all the interior angles of a quadrilateral is 180^(@) ?.

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  4. Diagonals of the parallelogram bisect each other at right angles...

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  5. Minimum number of sides in a polygon is 2.

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  6. Fill in the blank spaces . A regular polygon each of whos...

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  7. Measure of each interior angle of a polygon is equal to 8 times...

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  8. Diagonals of the rhombus bisect each other at .

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  9. Sum of all interior angles of a n sided polygon is .

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  10. Number of diagonals in a hexagon are (i) 6 (ii) 5 (iii) ...

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  11. Which letter of English alphabet form simple closed curve?

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  12. Maximum exterior angle possible for a regular polygon (i) 60...

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  13. Quadrilateral in which measure of each angle is less than 180^(...

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  14. Identify the type of quadrilateral in the following . A ...

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  15. Identify the type of quadrilateral in the following . A ...

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  16. Identify the type of quadrilateral in the following . A ...

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  17. Identify the type of quadrilateral in the following . A ...

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  18. One side of the square is 36 cm and the side opposite to it ...

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  19. Each interior angle of a polygon is double the exterior angle...

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  20. One of angles of a parallelogram is 26^(@) more than its adja...

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  21. PQRS is a parallelogram and O is the point of intersection o...

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