Adjacent Angle

Q. Two angles are adjacent if they have a common side and a common vertex.

1. True
2. False

Q. Identify the angles that are adjacent.

1. $III.$
2. $IV.$
3. $II.\&IV.$
4. $I.\&II.$

Q. When two complementary angles $\angle AOB\&\angle BOC$ are adjacent to each other, which of the following is correct?

1. $\angle AOC={180}^o$
2. $\angle AOC={90}^o$
3. $\angle AOB={90}^o$
4. None of the above.

Q. Angles of the square are donoted as follow:Which of the following angles are adjacent angles?

1. $\angle 1\&\angle 2$
2. $\angle 1\&\angle 4$
3. $\angle 2\&\angle 4$
4. $\angle 3\&\angle 2$

Q. Consider the following statements:

Statement I: All complementary angles are adjacent angles.

Statement II: When the sum of two adjacent angle measures is ${180}^o,$ they form a straight line.

1. Both the statements are correct.
2. Only statement I is correct.
3. Only statement II is correct.
4. None of the above.

Q. The measure of one of the adjacent angles is twice the other. If both the angles combined form a straight line, find the measure of each angle.

1. ${45}^o$
2. ${60}^o$
3. ${90}^o$
4. ${120}^o$

Q. Which angle is the adjacent angle to two angles?

1. $\angle a$
2. $\angle b$
3. $\angle c$
4. There is no such angles.