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Examine the information provided in each diagram below. Decide if each figure is possible or not. If the figure is not possible, explain why.  

  1. A triangle has two angles 64 degrees and 56 degrees. The exterior angle of the third interior angle is 120 degrees.

    What angle measure is supplementary to ?
    Would this also satisfy the Triangle Angle Sum Theorem?

  1. A quadrilateral with two parallel horizontal sides has a lower left angle of 117 degrees and an upper left angle 62 degrees.

    How are the same-side interior angles in a parallelogram related?

  1. Two lines A, B, and C, D, intersect at point E forming two triangles A, E, C, and B, D, E. Angle A is 72 degrees and angle C is 54 degrees. Angle B is 71 degrees and angle D is 54 degress.

    Are the vertical angles equal?