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Common Core Standard 7.G.B.5 Questions

Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

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Grade 7 Angles CCSS: 7.G.B.5
Angle 1 measures 88 degrees. What are the measurements of angles 3 and 2?
Vertical Angle #2
  1. Angle 3 is 12 degrees. Angle 2 is 88 degrees.
  2. Angle 3 is 88 degrees. Angle 2 is 92 degrees.
  3. Angle 2 is equal to angle 1 because they are supplemental.
  4. Angle 1 and 3 are equal because they are complimentary.
Grade 7 Angles CCSS: 7.G.B.5
In the following diagram, angle 1 equals 65 degrees. Find the measurement of angle 2.
Vertical Angle #2
  1. 105 degrees
  2. 35 degrees
  3. 65 degrees
  4. 115 degrees
Grade 7 Angles CCSS: 7.G.B.5
Two angles whose measures sum to 180°?
  1. Obtuse Angle
  2. Right Angle
  3. Exterior Angle
  4. Supplementary
  5. Interior Angle
  6. Complementary
Grade 7 Angles CCSS: 7.G.B.5
The measure of ∠1 is 150°. What are the measures of ∠4,∠3,and∠2?
Vertical Angle #1
  1. 30°,150°,30°
  2. 45°,120°,30°
  3. 60°,150°,45°
  4. 90°,135°,30°
Grade 7 Angles CCSS: 7.G.B.5
If ∠1 measures =70°, then what is the measure of ∠2?
Vertical Angle #2
  1. 40°
  2. 70°
  3. 110°
  4. 140°
Grade 7 Angles CCSS: 7.G.B.5
In the diagram, ∠DBA is a 90° angle. What type of angles are ∠ABC and ∠CBD?
Complementary Angle #2
  1. Supplementary and adjacent angles
  2. Supplementary, but not adjacent angles
  3. Complementary and adjacent angles
  4. Complementary, but not adjacent angles
Grade 7 Angles CCSS: 7.G.B.5
If ∠2=x, which equation must be true for ∠3?
Vertical Angle #2
  1. ∠3=x
  2. ∠3=180+x
  3. ∠3=180-x
  4. ∠3=360+x
  5. ∠3=360-x
Grade 7 Angles CCSS: 7.G.B.5
Which pair of angles are adjacent angles?
Parallel Lines - Skew Transversal
  1. ∠1and∠5
  2. ∠4and∠1
  3. ∠6and∠8
  4. ∠8and∠2
Grade 7 Angles CCSS: 7.G.B.5
Find the measure of the angle complementary to the given angle.
m∠y=15°
  1. 75°
  2. 165°
  3. 90°
  4. 35°
Grade 7 Angles CCSS: 7.G.B.5
Two angles are not touching. The angles sum to 180°. Which of the following best describes the angle pair?
  1. adjacent and complementary
  2. adjacent and supplementary
  3. non-adjacent and complementary
  4. non-adjacent and supplementary
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