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Chapter 1 Section 1.4. Angles and Their Measures. B. •. Vertex. Sides. A. •. C. Angle : Composed of two rays that have the same initial point. Exterior. Interior. The angle can be named by BAC, CAB, or A. Name the 3 angles in the picture PQS Top angle SQR Bottom angle
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Chapter 1Section 1.4 Angles and Their Measures
B • Vertex Sides A • C Angle: Composed of two rays that have the same initial point Exterior Interior The angle can be named by BAC, CAB, or A
Name the 3 angles in the picture • PQS Top angle • SQR Bottom angle • PQR Whole angle
Congruence • Two angles are congruent if they have the same measure • If ABC PQR then mABC = mPQR • Two segments are congruent if they have the same measure • Congruence: Having the same size and shape
Protractor Postulate • A protractor is used to measure angles • Angles are measured using Degrees
R • S • • P T Angle addition postulate RST • If P is in the interior of RST then • mRSP + mPST = m RST RSP PST
4 angle types A A Acute Angle 0° < mA < 90 ° Right Angle mA = 90 ° • A A Straight Angle mA = 180 ° Obtuse Angle 90° < mA < 180 °
m TMF = m TMW + m WMF m TMF = 27 + 63 m TMF = 90 m XLV = m XLC + m CLV m XLV = 39 + 103 m XLV = 142