Angle relationships

Find the value of $x$.

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 $\angle CBD$

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 $\angle BAD$

If $\angle AOB=-9x+29$ and $\angle BOC=2x+82$, find the value of $x$.

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

Given that $\angle m=$43°, find the remaining angles in the diagram.

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

1. Find $\angle BOC.$
2. Find $\angle EOB.$

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

What of the following is/are adjacent angles?

$\angle AOB$=30°, $\angle AOC$=100°.

1. Are $\angle AOB$ and $\angle AOC$ adjacent?
2. Find an angle that is adjacent to $\angle AOB$.