Mathematics
Grade9
Easy

Question

In square EFGH, the value of p is ______.

  1. 3
  2. 7
  3. 4
  4. 1

The correct answer is: 4


    We are given two angles in the square EFGH, and asked to find the value of p
    The opposite sides of a square are parallel.
    So, FG ∥ HE
    When transversal FH intersects FG and HE, the alternate interior angles are equal.
    angle G F H space equals space angle F H E
    7 -  p = 5p -  17
    6p = 24
    p = 4

    Therefore using alternate interior angles property we find the value of p is 4

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