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Can a quadrilateral ABCD be a parallelog...

Can a quadrilateral ABCD be a parallelogram, if
`angleD + angleB = 180^@`?

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Take any quadrilateral, say ABCD , Divide it into two triangles, by drawing a diagonal. You get six angles 1,2,3,4,5 and 6. Use the angle sum property of a triangle and argue how the sum of the measures of and amount to 180^@ + 180^@ = 360^@ .

ASHOK PUBLICATION ASSAM-Understanding Quadrilaterals.-EXAMPLE
  1. Consider the following parallelograms. Find the values of the unknowns...

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  2. Consider the following parallelograms. Find the values of the unknowns...

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  3. Can a quadrilateral ABCD be a parallelogram, if angleD + angleB = 18...

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  4. Can a quadrilateral ABCD be a parallelogram, if AB = DC = 8 cm, AD =...

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  5. Can a quadrilateral ABCD be a parallelogram, if angleA = 70^@ and an...

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  6. Draw a rough figure, of a quadrilateral that is not a parallelogram bu...

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  7. The measures of two adjacent angles of a parallelogram are in the rati...

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  8. Two adjacent angles of a parallelogram have equal measure. Find the me...

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  9. The following figures GUNS and RUNS are parallelograms. Find x and y. ...

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  10. The following figures GUNS and RUNS are parallelograms. Find x and y. ...

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  11. In the above figure both RISK and CLUE are parallelograms. Find the va...

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  12. Explain how this figure is a trapezium. Which of its two sides are par...

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  13. Find mangleC.If AB||DC.

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  14. Find the the measure of angleP and angleS if barSP||barRQ (If you fi...

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  15. State whether True or False. All rectangle are squares

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  16. State whether True or False. All rhombuses are parallelograms

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  17. State whether True or False. All squares are rhombuses and also rect...

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  18. State whether True or False. All squares are not parallelograms

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  19. State whether True or False. All kites are rhombuses

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  20. State whether True or False. All rhombuses are kites

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