Mathematics
Grade9
Easy

Question

The measure of angle B C D is _________.

  1. 45°
  2. 55°
  3. 135°
  4. 60°

hintHint:

In the question we have to find the angle BCD, which belongs to triangle BDC. Also AB is parallel to DC So, using the theorem alternate interior angles are equal we can find angle BDC , now in the triangle two sides are equal so the angles opposite will also be equal. This will help us to find the required angle.

The correct answer is: 45°


    The measurement of angle B C D is___45degree___.

    APQ,
    AB is parallel to DC,
    So,angle A B D equals angle B D C=45degree
    In increment B D C,
    BD=BC
    So, angle B D C equals angle B C D equals 45 degree (angles opposite to the equal sides are equal.)

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