Mathematics
Grade9
Easy

Question

If ABEF, CDGF, EFIH, FGKJ are rhombuses, then angle D G F _________.

 

  1. 45°
  2. 15°
  3. 180°
  4. 135°

The correct answer is: 135°


    Given that ABEF, CDGF, EFIH, FGKJ are rhombuses we are asked to findangle D G F
    The vertically opposite angles are equal.
    angle E F I equals angle C F G equals 45 degree
    text  In rhombus CDGF,  end text angle D G F plus angle C F G equals 180 degree
    angle D G F equals 180 degree minus 45 degree
    equals 135 degree

    Therefore the measure of ∠DGF is 135

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