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# Complementary and Supplementary Angles (Grade 7)

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## Complementary and Supplementary Angles

1.
Two angles are                 angles if the sum of their measures equals 90 degrees.
1. supplementary
2. complementary
3. right
4. straight
2.
Two angles are                 angles if the sum of their measures are 180 degrees
1. supplementary
2. complementary
3. straight
4. right
3.
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
4.
Find the measure of an angle supplementary to the given angle.
$mangn=115deg$
1. $90deg$
2. $25deg$
3. $65deg$
4. $55deg$
5.
What is the supplement of $37deg$?
1. $53deg$
2. $233deg$
3. $143deg$
4. $323deg$
6.
An angle measures $51deg$. What is the measure of its supplementary angle?
1. $129deg$
2. $39deg$
3. $309deg$
4. $120deg$
7.
Using the diagram shown, $ang$1 and $ang$4 are supplementary angles. If $ang$4 = 70$deg$, What is the measure of $ang$1?
1. 180$deg$
2. 20$deg$
3. 110$deg$
4. 130$deg$
8.
Based on the following information, where $ang ABD$ is a right angle, 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. $2x + x = 180$
9.
Based on the following information, including the fact that $ang ABC$ and $ang CBD$ are supplementary, which equation could be used to solve for x?

$mangDBC =x - 10$
$mangABC = x + 30$
1. $(x - 10) - (x + 30) = 90$
2. $(x - 10) - (x + 30) = 180$
3. $(x - 10) + (x + 30) = 90$
4. $(x - 10) + (x + 30) = 180$
10.
Given the following, including the fact that $ang ABC$ and $ang CBD$ are supplementary, what is the value of $mangABC$?

$mangDBC = x - 10$
$mangABC = x + 30$
1. $35deg$
2. $70deg$
3. $80deg$
4. $110deg$
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