1. Suppose p: A, B, and C are three non-collinear points and D is a point such that DE AB. Under the supposition p, examine each of the following propositions to determine whether or not it is true; indicate your determination of the truth value then write a paragraph that explains why your determination is correct. (a) p= LACB exists. (b) p= LABD exists. (c) p= LABC = ZCBA. (d) p= LDBC = LABC.

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