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Quadrilaterals Test - 2

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Quadrilaterals Test - 2
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  • Question 1
    1 / -0

    In a quadrilateral ABCD, ∠A + ∠C = 225and ∠B = 75o. What is the value of ∠D?

    Solution

    In the given quadrilateral ABCD,
    ∠A + ∠B + ∠C + ∠D = 360° [By angle sum property of a quadrilateral]
    Rearranging angles, we get
    (∠A + ∠C) + ∠B + ∠D = 360°
    225° + 75° + ∠D = 360°
    ∠D = 360° - 225° - 75°
    = 360° - 300°
    = 60°

     

  • Question 2
    1 / -0

    Which of the following statements is/are correct?

    Solution

    Each angle of a rectangle is equal to 90o.

     

  • Question 3
    1 / -0

    In a quadrilateral PQRS, ∠"P = 90o, ∠"Q = 110o and ∠"R = ∠"S. What is the value of ∠"R?

    Solution

    ∠P = 90o and ∠Q = 110o
    And ∠R = ∠S

    Also, ∠P + ∠Q + ∠R + ∠S = 360o [Sum of angles of a quadrilateral is 360o.]

    90° + 110° + ∠R + ∠R = 360° [∵∠R = S]
    ⇒ 200° + 2∠R = 360°

    2∠R = 360° – 200°
    2∠R = 160°

    ∠R = 80°

     

  • Question 4
    1 / -0

    Which of the following statements is not true?

    Solution

    A rhombus is not a square as all the angles of a square are equal to 90°, but all the angles of a rhombus are not necessarily equal to 90°.

     

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