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Honors Geometry 1.4 Measure and Classify Angles Objectives: Name: ________________________________________ Date: _________________________ Block: ________ To name, measure, and classify angles To answer, “How do you identify whether an angle is acute, right, obtuse, or straight?” Key Vocabulary Angle Sides Vertex How to name: 1) 2) 3) EXAMPLE 1 Name the three angles in the diagram ERROR PREVENTION: Measuring Angles The tool used to approximate the measure of an angle is a ___________________________________ . Measure <WXZ above. Classifying Angles EXAMPLE 2 Use the diagram to find the measure of the indicated angle. Then classify the angle a. <KHL b. <GHK c. <GHJ d. <GHL Angle Addition Postulate We write: EXAMPLE 3 Given that m<LKN = 145, find the m<LKM and m<MKN. Try these: 1.) Given that <KLM is a straight angle, find the m<KLN and m<NLM. 2.) <JRT is a straight angle intersected by ray RM. If m<JRM = x2 - 8x and m<MRT = 5x + 170, find the measure of <JRM and m<JRT. Congruent Angles: Angle Bisector - To label a diagram with and angle bisector we use ____________________. EXAMPLE 4 Draw an angle so that YW bisect <XYZ and the m<XYW = 18. With out using your protractor to measure, what is the m<XYZ? Explain. Draw and solve. Ray FQ is the angle bisector of <AFB. If m<AFQ = 12x + 32 and m<AFB = 20x + 70. Find the measure of all the angles. Challenge!