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Angles and Their Measures
Chapter 1 Section 1.4 Angles and Their Measures
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• Angle: Composed of two rays that have the same initial point B
Vertex Exterior Sides Interior The angle can be named by BAC, CAB, or A
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Name the 3 angles in the picture
PQS Top angle SQR Bottom angle PQR Whole angle
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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
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Protractor Postulate A protractor is used to measure angles
Angles are measured using Degrees
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Angle addition postulate
R • T P RST RSP PST If P is in the interior of RST then mRSP + mPST = m RST
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4 angle types A A Acute Angle Right Angle 0° < mA < 90 °
• A A Straight Angle mA = 180 ° Obtuse Angle 90° < mA < 180 °
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m TMF = m TMW + m WMF m TMF = m TMF = 90 m XLV = m XLC + m CLV m XLV = m XLV = 142
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HW #5 Pg 28: 1-39, 51-58, 64-73
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