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Lizzie notices that two angles in , shown at right, have the same measure.

Triangle D, E, F, with angle, D, labeled 54 degrees, and angle, F, labeled 54 degrees.

  1. Based on this information, what statement can you make about the relationship between and ?

    What's true about sides opposite equal angles in a triangle?

  2. Determine the length of if mm.

    Divide into two congruent right triangles.

    Added to Triangle, D,E,F, a dashed segment, from E, to the middle of side, D F.

    Use trigonometry to determine .