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1.4 Measure & Classify Angles 
1.4 Measure and Classify Angles 
Angle: 2 different rays with same endpoint 
Sides Vertex 
Naming Angles W 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014 
130 
140 50 
10 170 
0 180 
20 
160 
30 
150 
40 
60 
120 
110 
70 
100 
80 
90 
90 
0° 
80 
100 
70 
110 
120 
60 
130 
50 
140 
40 
150 
30 
160 
20 
170 10 
180 0 
X 
Y 
Z 
WXY or YXW 
YXZ or ZXY 
WXZ or ZXW 
Measuring Angles 
We use protractors to measure an angle 
Classifying Angles 
Acute: < 90 
Right: 90 
Obtuse: >90 and <180 
Straight: = 180 
37 
° 
90 
° 
133 
° 
180 
°
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014 
Angle Addition Postulate: If P is in the interior of RST, then the 
measure of RST is equal to the sum of measures of RSP and PST 
m RST = m RSP + m PST 
S 
T 
P 
R 
m RST 
m RSP 
m PST
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014 
Congruent Angles: same measure A ≅ B
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014 
Extra Credit Point if you do this on 
the board. Please raise your hand!
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014
1.4 Measure & Classify Angles 
HW pg. 28 #4­26 
even, 34­42 
even 
August 20, 2014 
HW 
pg. 28 
#4-26 even, 
34-42 even

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1.4 notes

  • 1. 1.4 Measure & Classify Angles 1.4 Measure and Classify Angles Angle: 2 different rays with same endpoint Sides Vertex Naming Angles W HW pg. 28 #4­26 even, 34­42 even August 20, 2014 130 140 50 10 170 0 180 20 160 30 150 40 60 120 110 70 100 80 90 90 0° 80 100 70 110 120 60 130 50 140 40 150 30 160 20 170 10 180 0 X Y Z WXY or YXW YXZ or ZXY WXZ or ZXW Measuring Angles We use protractors to measure an angle Classifying Angles Acute: < 90 Right: 90 Obtuse: >90 and <180 Straight: = 180 37 ° 90 ° 133 ° 180 °
  • 2. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014
  • 3. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014
  • 4. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014 Angle Addition Postulate: If P is in the interior of RST, then the measure of RST is equal to the sum of measures of RSP and PST m RST = m RSP + m PST S T P R m RST m RSP m PST
  • 5. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014
  • 6. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014 Congruent Angles: same measure A ≅ B
  • 7. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014
  • 8. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014 Extra Credit Point if you do this on the board. Please raise your hand!
  • 9. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014
  • 10. 1.4 Measure & Classify Angles HW pg. 28 #4­26 even, 34­42 even August 20, 2014 HW pg. 28 #4-26 even, 34-42 even