MATH 213 Midterm: MATH213 ALL-SECTIONS FALL2006 0000 MID EXAM 1
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Given l || m , find the missing angle measures indicated by letters in the diagram below. A student uses the following steps to construct a triangle: She draws line l shown below, and marks points a and b. She sets the compass opening so that it matches the length ab. She puts the point on a and makes an arc, as shown. Then she puts the point on b and makes a second arc intersecting the first, as shown. She names the intersection of the two arcs c, and draws triangle abc, as shown. Justify your answer. a = c = d = e = f = g = h = Prove: m 1 + m 2 + m 3 = 180 . Fill in the missing statements and reasons in the following proof. Proof: the interior angles of a triangle sum to 180 .