2. Questions Bank
  3. 8th Class
  4. Mathematics
  5. Understanding Quadrilaterals

8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    If angles P, Q, R and S of the quadrilateral PQRS, taken in order, are in the ratio \[3:7:6:4,\]what is PQRS?

    A)  A rhombus                        

    B)                         A parallelogram              

    C)                         A trapezium                     

    D)                         A kite

    Correct Answer: C

    Solution :

    Let the angles be \[3x,\text{ }7x\text{ },\text{ }6x\] and\[4x\].  \[\therefore \]  \[3x+7x+6x+4x={{360}^{o}}\] or \[20x={{360}^{o}}\] or \[x={{18}^{o}}\]. The angles are \[{{54}^{o}},{{126}^{o}},{{108}^{o}}\]and \[{{72}^{o}}\]. We see that adjacent angles are supplementary but opposite angles-are not equal. Clearly, it is a trapezium.


You need to login to perform this action.
You will be redirected in 3 sec spinner