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Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180°. She draws a triangle and extends one of the sides through a vertex. She then draws a line through this vertex that is parallel to the opposite side, as shown in the diagram below. Which of the following statements must be true and could be used as part of Katherine's proof? Select ALL that apply. A m∠1=m∠5 B m∠2=m∠4 C m∠3=m∠4+m∠5 D m∠3+m∠4+m∠5=180° E m∠1+m∠2+m∠4+m∠5=180°
