Mathematics
Grade9
Easy

Question

ABCD is a parallelogram if ________.

  1. x = - 5
  2. x = 1 third
  3. x = 17
  4. x = 9

hintHint:

A parallelogram is a flat 2d shape which has four angles.
The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees.

The correct answer is: x = 9



    We know that, the opposite angles of a parallelogram are equal.
    angle A space equals space angle C
    9x -13 = 7x + 5
    2x = 18
    x = 9
    angle A space equals space 9 x space minus space 13 space equals space 9 space cross times 9 space minus 13 space equals space 68 degree
angle C space equals 7 x space plus space 5 space equals space 7 space cross times space 9 space plus space 5 space equals space 68 degree
    Thus, ABCD is a parallelogram if x = 9

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