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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
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]
Grade 7 Angles CCSS: 7.G.B.5
What is the supplement of a 67 degree angle?
  1. A 113 degree angle
  2. A 23 degree angle
  3. A 33 degree angle
  4. A 123 degree angle
Grade 7 Angles CCSS: 7.G.B.5
Two angles whose measures have a sum of 90 degrees are called what?
  1. Complementary Angles
  2. Right Angles
  3. Obtuse Angles
  4. Supplementary Angles
Grade 7 Angles CCSS: 7.G.B.5
Angles adjacent to the same angle and forming linear pairs with it.
  1. acute angles
  2. linear pairs
  3. adjacent angles
  4. supplementary angles
  5. vertical angles
Grade 7 Angles CCSS: 7.G.B.5
Two angles are supplementary. Angle A is twice as large as angle B. What is the measure of each angle?
  1. Both angles are 60 degrees
  2. Angle A = 60, Angle B = 120
  3. Angle A = 120, Angle B = 60
  4. Angle A= 30, Angle B = 60
Grade 7 Angles CCSS: 7.G.B.5
Based on the following information, including the fact that [math]ang ABC[/math] and [math]ang CBD[/math] are supplementary, which equation could be used to solve for x?

[math]mangDBC =x - 10[/math]
[math]mangABC = x + 30[/math]
Supplementary Angle #2
  1. [math](x - 10) - (x + 30) = 90[/math]
  2. [math](x - 10) - (x + 30) = 180[/math]
  3. [math](x - 10) + (x + 30) = 90[/math]
  4. [math](x - 10) + (x + 30) = 180[/math]
Grade 7 Angles CCSS: 7.G.B.5
Two angles share a common side and a vertex. 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
The pair of angles shown sum to [math]180deg[/math].
30° Angle #1150° Angle #2
What type of angle pair do they form?
  1. vertical angles
  2. adjacent angles
  3. supplementary angles
  4. complementary angles
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