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

$mangDBC = x$
$mangCBA = 2x$

1. $2x - x = 90$
2. $2x + x = 90$
3. $2x - x = 180$
4. $2x + x = 180$
Two angles whose measures sum to 180?
1. Obtuse Angle
2. Right Angle
3. Exterior Angle
4. Supplementary
5. Interior Angle
6. Complementary
The measure of $ang 1$ is $150deg$. What are the measures of $ang4, ang3, and ang2$?
1. $30deg, 150deg, and 30deg$
2. $45deg, 120deg, and 30deg$
3. $60deg, 150deg, and 45deg$
4. $90deg, 135deg, and 30deg$
If $ang1$ measures $=70deg$, then what is the measure of $ang2$?
1. $40deg$
2. $70deg$
3. $110deg$
4. $140deg$
In the diagram, $ang$DBA is a 90$deg$angle. What type of angles are $ang$ABC and $ang$CBD?
2. supplementary, but not adjacent angles
4. complementary, but not adjacent angles
If $ang2 = x$, which equation must be true for $ang3$?
1. $ang3 = x$
2. $ang3 = 180 + x$
3. $ang3 = 180 - x$
4. $ang3 = 360 + x$
5. $ang3 = 360 - x$
Which pair of angles are adjacent angles?
1. $ang 1 and ang5$
2. $ang 4 and ang1$
3. $ang 6 and ang8$
4. $ang 8 and ang2$
What geometric term names the top and bottom angles in the figure shown?
1. Supplementary angles
2. Complementary angles
3. Horizontal angles
4. Vertical angles
Find the measure of the angle complementary to the given angle.
$mangy=15deg$
1. $75deg$
2. $165deg$
3. $90deg$
4. $35deg$
Two angles are not touching. The angles sum to $180deg$. Which of the following best describes the angle pair?
If $ang4 = 2x$ and $ang1 = 3x$, then what is the measure of $ang4$?
1. $36deg$
2. $72deg$
3. $108deg$
4. $144deg$
Two angles are not touching. The angles sum to $90deg$. Which of the following best describes the angle pair?
Two angles share a common side and a vertex. The angles sum to $180deg$. Which of the following best describes the angle pair?
Which pair of angles are vertical angles?
1. $ang 1 and ang3$
2. $ang 3 and ang2$
3. $ang 5 and ang6$
4. $ang 7and ang6$
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