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Measures of Angles (Grade 8)

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Measures of Angles

1. 
Approximate the measure of the angle shown.
270° Reflex Angle
  1. 60 degrees
  2. 270 degrees
  3. 75 degrees
  4. 100 degrees
 
2. 
Find the measure of one angle of the following polygon:
Octagon v2
  1. [math]135deg[/math]
  2. [math]1080deg[/math]
  3. [math]1440deg[/math]
  4. [math]180deg[/math]
3. 
Find the measure of one angle of a regular decagon.
  1. [math]1440deg[/math]
  2. [math]144deg[/math]
  3. [math]1800deg[/math]
  4. [math]900deg[/math]
 
4. 
Find the measure of one angle of a regular dodecagon.
  1. [math]1800deg[/math]
  2. [math]2160deg[/math]
  3. [math]150deg[/math]
  4. [math]1080deg[/math]
5. 
Find the measure of one angle of a regular 20-gon.
  1. [math]3240deg[/math]
  2. [math]3600deg[/math]
  3. [math]1800deg[/math]
  4. [math]162deg[/math]
 
6. 
Given a polygon with angle measures [math]100deg[/math], [math]105deg[/math], and [math]130deg[/math], there is one more angle. What is the measure of the last angle?
  1. [math]25deg[/math]
  2. [math]115deg[/math]
  3. [math]205deg[/math]
  4. [math]425deg[/math]
7. 
In the figure below, if angle 1 is [math]100deg[/math], what is the measure of angle 5?
Parallel Lines - Skew Transversal
  1. [math]80deg[/math]
  2. [math]100deg[/math]
  3. [math]110deg[/math]
  4. [math]140deg[/math]
 
8. 
The measure of [math]ang 1 [/math] is [math]150deg[/math]. What are the measures of [math]ang4, ang3, and ang2[/math]?
Vertical Angle #1
  1. [math]30deg, 150deg, and 30deg[/math]
  2. [math]45deg, 120deg, and 30deg[/math]
  3. [math]60deg, 150deg, and 45deg[/math]
  4. [math]90deg, 135deg, and 30deg[/math]
9. 
Refer to the figure below. The measure of [math]ang4[/math] is [math]5x[/math] and the measure of [math]ang2[/math] is [math]91-2x[/math]. What is [math]x[/math]?
Vertical Angle #1
  1. 44.5
  2. 12.7
  3. 36
  4. 13
 
10. 
Given the following figure: The measure of [math]ang4[/math] is [math]2//3 x[/math] and the measure of [math]ang2[/math] is 90. What is x?
Vertical Angle #1
  1. 270
  2. 135
  3. 180
  4. 90
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