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##### Intros
###### Lessons
1. Introduction to Supplementary, Complementary, Vertical, and Adjacent Angles
2. What are supplementary angles?
3. What are complementary angles?
4. What are vertical angles?
##### Examples
###### Lessons
1. Application of Supplementary Angles Find the value of $x$.

1. Complementary Angles on Polygons Which of the following pair(s) is/are complementary angles?

1. $\angle ABD$ and $\angle ACD$
2. $\angle ABC$ and $\angle CBD$
3. $\angle ACB$ and $\angle CBD$
2. Which of the following pair(s) is/are complementary angles?

1. $\angle CDB$ and $\angle ADB$
2. $\angle ABD$ and $\angle CBD$
3. $\angle BCD$ and $\angle BAD$
3. Application of Complementary Angles If $\angle AOB=-9x+29$ and $\angle BOC=2x+82$, find the value of $x$.

1. Proving Vertical Angles Using Supplementary Angles

Use the idea of supplementary angles to prove for vertical angles.

1. Application of Vertical Angles Given that $\angle m=$43°, find the remaining angles in the diagram.

1. Given that $\angle AOC$=125° and $\angle DOE$=35°.

1. Find $\angle BOC.$
2. Find $\angle EOB.$
2. If $\angle AOD$=3x+14 and $\angle BOC$=7x-18, find the value of x.

What of the following is/are adjacent angles?

1. 2. 3. 4. 2. Finding Adjacent Angles $\angle AOB$=30°, $\angle AOC$=100°.

1. Are $\angle AOB$ and $\angle AOC$ adjacent?
2. Find an angle that is adjacent to $\angle AOB$.
###### Topic Notes
In this lesson, we will learn:
• Application of Supplementary Angles
• Complementary Angles on Polygons
• Application of Complementary Angles
• Proving Vertical Angles Using Supplementary Angles
• Application of Vertical Angles