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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
Based on the following information, which equation could be used to solve for x?

[math]mangDBC = x[/math]
[math]mangCBA = 2x[/math]

Complementary Angle #1
  1. [math]2x - x = 90[/math]
  2. [math]2x + x = 90[/math]
  3. [math]2x - x = 180[/math]
  4. [math]2x + x = 180[/math]
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 [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]
Grade 7 Angles CCSS: 7.G.B.5
If [math]ang1[/math] measures [math]=70deg[/math], then what is the measure of [math]ang2[/math]?
Vertical Angle #2
  1. [math]40deg[/math]
  2. [math]70deg[/math]
  3. [math]110deg[/math]
  4. [math]140deg[/math]
Grade 7 Angles CCSS: 7.G.B.5
In the diagram, [math]ang[/math]DBA is a 90[math]deg[/math]angle. What type of angles are [math]ang[/math]ABC and [math]ang[/math]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 [math]ang2 = x[/math], which equation must be true for [math]ang3[/math]?
Vertical Angle #2
  1. [math]ang3 = x[/math]
  2. [math]ang3 = 180 + x[/math]
  3. [math]ang3 = 180 - x[/math]
  4. [math]ang3 = 360 + x[/math]
  5. [math]ang3 = 360 - x[/math]
Grade 7 Angles CCSS: 7.G.B.5
Which pair of angles are adjacent angles?
Parallel Lines - Skew Transversal
  1. [math]ang 1 and ang5[/math]
  2. [math]ang 4 and ang1[/math]
  3. [math]ang 6 and ang8[/math]
  4. [math]ang 8 and ang2[/math]
Grade 7 Angles CCSS: 7.G.B.5
What geometric term names the top and bottom angles in the figure shown?
Vertical Angle #1
  1. Supplementary angles
  2. Complementary angles
  3. Horizontal angles
  4. Vertical angles
Grade 7 Angles CCSS: 7.G.B.5
Find the measure of the angle complementary to the given angle.
[math]mangy=15deg[/math]
  1. [math]75deg[/math]
  2. [math]165deg[/math]
  3. [math]90deg[/math]
  4. [math]35deg[/math]
Grade 7 Angles CCSS: 7.G.B.5
Two angles are not touching. The angles sum to [math]180deg[/math]. 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
Grade 7 Angles CCSS: 7.G.B.5
If [math]ang4 = 2x[/math] and [math]ang1 = 3x [/math], then what is the measure of [math]ang4[/math]?
Vertical Angle #1
  1. [math]36deg[/math]
  2. [math]72deg[/math]
  3. [math]108deg[/math]
  4. [math]144deg[/math]
Grade 7 Angles CCSS: 7.G.B.5
Two angles are not touching. The angles sum to [math]90deg[/math]. 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
Grade 7 Angles CCSS: 7.G.B.5
Two angles share a common side and a vertex. The angles sum to [math]180deg[/math]. 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
Grade 7 Angles CCSS: 7.G.B.5
Which pair of angles are vertical angles?
Parallel Lines - Skew Transversal
  1. [math]ang 1 and ang3[/math]
  2. [math]ang 3 and ang2[/math]
  3. [math]ang 5 and ang6[/math]
  4. [math]ang 7and ang6[/math]
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