# If ABC is obtuse, what are the restrictions on x? ∠

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If ABC is obtuse, what are the restrictions on x? ∠

1.2-Measurement of Segments and Angles Opener Name all angles in the diagram Definitions: Acute Angle: An angle whose measure is greater than 0° and less than 90° Right Angle: An angle whose measure is 90° Obtuse Angle: An angle whose measure is greater than 90° and less than 180° Straight Angle: An angle whose measure is 180° Ex 1 If ABC is obtuse, what are the restrictions on x? Chapter 1 Page 1 Ex 2 If mABC=70, then find m1 and m 2. Angles are measured in degrees. Each degree is divided into 60 minutes (') and each minute is divided into 60 (") Ex 3 2 Convert 41 to degrees, minutes, and seconds. 5 Ex 4 Convert 6045' to degrees Ex 5 37°42'13" + 27°31'24" Chapter 1 Page 2 Ex 6 90° - 37°31'42" Definitions: Congruent Angles: Angles that have the same measure Congruent Segments: Segments that have the same length Clock Problems Every hour the hour hand of a clock turns __________. Why?? Ex 7 Find the smaller angle formed by the hands of a clock at the following times. a) 4:00 b) 8:30 c) 9:40 Chapter 1 Page 3 c) 9:40 d) 5:15 Chapter 1 Page 4