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Chemistry, 19.11.2020 22:00 CarleySamuel

Complete the two-column proof. Diagram Two horizontal lines that appear to be parallel are cut by a transversal. Where the transversal intersects the top horizontal line, the angle in the top right corner is obtuse and labeled with a 2. Where the transversal intersects the bottom horizontal line, the angle in the top left corner is acute and labeled with a 1, the angle in the bottom left corner is obtuse and labeled with a 4, and the angle in the bottom right corner is acute and labeled with a 3. Drawing not to scale. Given: Angle 2 is congruent to angle 4, the measure of angle 2 is 110 degrees Prove: m angle D equals 70 degrees Statement Proof Angle 2 is congruent to angle 4, the measure of angle 2 is 110 degrees Given measure of angle 2 equal to measure of angle 4 Definition of congruent angles m angle 4 equals 110 degrees a. m angle 3 and m angle 4are a linear pair Definition of a linear pair (shown in diagram) m angle 3 and m angle 4are supplementary Linear Pair Postulate m angle 3 plus m angle 4 equals 180 degrees b. m angle 3 plus 110 degrees equals 180 degrees Substitution Property m angle D equals 70 degrees c.

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Complete the two-column proof. Diagram Two horizontal lines that appear to be parallel are cut by a...
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