1-4: Measuring Angles. Parts of an Angle Formed by the union of two rays with the same endpoint. Called sides of the angle Called the vertex of the angle.

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1-4: Measuring Angles

Parts of an Angle Formed by the union of two rays with the same endpoint. Called sides of the angle Called the vertex of the angle 3 ways to name  BAC or  CAB  A (Vertex)  1 A B C 1 Exterior Interior

Example 1: 1). Name the angle below. Name the sides and the vertex of the angle. X Y Z 1 2). Label the 3 points on the figure below so that the angle has sides KQ and KN. Q K N

Protractor Postulate Consider and a point on one side of. Every ray of the form can be paired one to one with a real number 0 to 180. B O A

Types of Angles Congruent Angles Angles with the same measure If, then Or, if, then Acute Right Obtuse Straight

a A D d Example 2: What is ? 45° 135°

Postulate 1-8: Angle Addition Postulate If point B is in the interior of, then: Example 3: If, what are and ?

Homework: p. 31 #’s 6, 7, 12-14, 18-23, 29-31, 33-35