Unit 3_angles_final - Unit 3 Angles Triangles and Parallel Lines 1 You may have learned in the past that the sum of the angles in any triangle is

Unit 3_angles_final - Unit 3 Angles Triangles and...

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Unit 3: Angles: Triangles and Parallel Lines Unit 3- content adapted from Deerfield Academy and Penner 1.You may have learned in the past that the sum of the angles in any triangle is 180 degrees. We will prove this more rigorously later on. For now, given this, what can we say about the two non-right angles of a right triangle? 2.Some terminology: When two angles fit together to form a straight angle (a 180-degree angle, in other words), they are called supplementary angles and either angle is the supplement of the other. When an angle is the same size as its supplement (a 90-degree angle), it is called a right angle. When two angles fit together to form a right angle, they are called complementary angles and either angle is the complement of the other. Two lines that form a right angle are said to be perpendicular. Draw a diagram for each definition. 3.4.If the measure of the complement of an angle is 6 less than half the measure of the angle, find the measure of the angle. 5.If the measure of the supplement of an angle is 12 more than twice the measure of the angle, find the measure of the angle. 6.If the measure of the supplement of an angle is 6 more than three times the measure of the complement of the angle, find the measure of the angle. 1

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