GEOMETRY HELP Name the angle below in four ways. The name can be the vertex of the angle: G. Finally, the name can be a point on one side, the vertex,

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Presentation transcript:

GEOMETRY HELP Name the angle below in four ways. The name can be the vertex of the angle: G. Finally, the name can be a point on one side, the vertex, and a point on the other side of the angle: AGC, CGA. The name can be the number between the sides of the angle: 3. Quick Check Measuring Angles LESSON 1-6 Additional Examples

GEOMETRY HELP Because 0 < 80 < 90, 2 is acute. m 2 = 80 Use a protractor to measure each angle. m 1 = 110 Because 90 < 110 < 180, 1 is obtuse. Find the measure of each angle. Classify each as acute, right, obtuse, or straight. Measuring Angles LESSON 1-6 Additional Examples Quick Check

GEOMETRY HELP Use the Angle Addition Postulate to solve. m 1 + m 2 = m ABCAngle Addition Postulate m 2 = 88Substitute 42 for m 1 and 88 for m ABC. m 2 = 46Subtract 42 from each side. Suppose that m 1 = 42 and m ABC = 88. Find m 2. Measuring Angles LESSON 1-6 Additional Examples Quick Check

GEOMETRY HELP Name all pairs of angles in the diagram that are: a.vertical b.supplementary Vertical angles are two angles whose sides are opposite rays. Because all the angles shown are formed by two intersecting lines,  1 and  3 are vertical angles, and  2 and  4 are vertical angles. Two angles are supplementary if the sum of their measures is 180. A straight angle has measure 180, and each pair of adjacent angles in the diagram forms a straight angle. So these pairs of angles are supplementary:  1 and  2,  2 and  3,  3 and  4, and  4 and  1. Measuring Angles LESSON 1-6 Additional Examples

GEOMETRY HELP c.complementary Two angles are complementary if the sum of their measures is 90. No pair of angles is complementary. (continued) Measuring Angles LESSON 1-6 Additional Examples Quick Check

GEOMETRY HELP Use the diagram below. Which of the following can you conclude:  3 is a right angle,  1 and  5 are adjacent,  3  5? Although  3 appears to be a right angle, it is not marked with a right angle symbol, so you cannot conclude that  3 is a right angle. You can conclude that  1 and  5 are adjacent because they share a common side, a common vertex, and no common interior points.  3 and  5 are not marked as congruent on the diagram. Although they are opposite each other, they are not vertical angles. So you cannot conclude that  3  5. Measuring Angles LESSON 1-6 Additional Examples Quick Check