Mathematics
Grade9
Easy

Question

Find the value of y.

  1. 51
  2. 74
  3. 47
  4. 61

hintHint:


In this question we have to find the value of y given that AB is parallel to CD and EF is the transversal. So, angle EPB will be equal to angle CQF as alternate exterior angles are equal.

The correct answer is: 47



    APQ,
    AB is parallel to CD and EF is the transversal.
    So, angle E P B equals angle C Q F (alternate exterior angle)
    rightwards double arrow left parenthesis 3 y minus 6 right parenthesis degree equals 135 degree
rightwards double arrow 3 y degree minus 6 degree equals 135 degree
rightwards double arrow space space space space space space 3 y degree space space equals 135 degree plus 6 degree
rightwards double arrow space space space space space space space y space space space space equals 141 degree divided by 3 degree
rightwards double arrow space space space space space space space y space space space space equals space 47 degree

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