Mathematics
Grade9
Easy

Question

text  The measure of  end text angle E C D text  is  end text____________.

  1. 40 degree
  2. 60 degree
  3. 50 degree
  4. 30 degree

hintHint:

Alternate angles are equal

The correct answer is: 30 degree


    30
    in the given figure,
    AB || CD and the line DB cuts the 2 sides at some angle, making <CAB and < ACD 1 pair of alternate angles.
    Given, < EAB = 30 degrees.
    Using the property of alternate angles, we can say that <ECD = < EAB = 30 degrees.

    The alternate angle theorem states that when two parallel lines ( AB and CD) are cut by a transversal (here DB ), then the resulting alternate interior angles or alternate exterior angles are equal

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