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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
8.3 Problems on Quadrilaterals - II

  1. Example:
    In a quadrilateral, two angles are 80 and 120, the remaining two angles are equal. What is the measure of each of these angles?

    Solution:
    Sum of the given angles = 80 + 120 = 200.
    we know that the sum of the four angles of the quadrilateral is 360.
    \ The sum of the remaining two angles = 360 - 200 = 160
    But they are equal.
    \ each angle = 1/2 * 160 = 80.

  2. Example:
    In a quadrilateral, the second angle is 2 times the first. The remaining 2 angles are equal and each angle is 4 times the first angle. What is the measure of each of these angles?

    Solution:
    Let the first angle be 'x'.
    We know that the sum of the angles of a quadrilateral = 360.
    Here, Second angle = 2x; Third angle = Fourth angle = 4x;
    Therefore x + 2x + 4x + 4x = 360;
    ie 11x = 360;
    ie x = 360/11 = 32.73.(Rounded off to nearest hundredth). Hence the first angle is 32.73,
    second angle = 2 x 32.73 = 65.46 and third angle = Fourth angle = 4 x 32.73 = 130.92.



Directions: Read the above example carefully and answer the following questions:
  1. In a quadrilateral, the first angle is 2 times the second, the remaining two angles are equal and are 5 times the first. What is the measure of each of these angles?
  2. In a quadrilateral, two angles are 80 and 100, the remaining two angles are equal. What is the measure of each of these angles?

Q 1: In a quadrilateral, two angles are 60 and 100, the remaining two angles are equal. What is the measure of each of these angles?
130
100
200

Q 2: In a quadrilateral, two angles are 80 and 170, the remaining two angles are equal. What is the measure of each of these angles?
110
55
90

Q 3: In a quadrilateral, the sum of the first 2 angles are given by 225. The remaining two angles are equal. What will be the measure of each of these angles?
67
135
67.5

Q 4: In a quadrilateral, two angles are 90 and 150, the remaining two angles are equal. What is the measure of each of these angles?
120
60
90

Question 5: This question is available to subscribers only!

Question 6: This question is available to subscribers only!


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