Adjacent Angles

Q. Name the pairs of adjacent angles in the figures below.

Q.

Determine which of the following pairs of angles are coterminal.

$330°,-60°$

Q.

Can two acute angles form a linear pair?

Q.

Question 9 (ii)
In the adjoining figure:

Is $\angle$AOC adjacent to $\angle$AOE?

Q.

Question 2 (iii)
In the adjoining figure, identify:

The pairs of interior angels on the same side of the transversal.

Q.

In which of the following figures, $\mathrm{a}$ and $\mathrm{b}$ are forming a pair of adjacent angles

1. 

2. 

3. 

4. 

Q. In the given figure, $\angle BAC$ and $\angle CAD$ are adjacent angles. Find the common vertex and common arm.

1. Common vertex A and common arm AB
2. Common vertex B and common arm AB
3. Common vertex A and common arm AC
4. Common vertex C and common arm AC

Q.

Question 24

For the given figure statements p and q are given below:
p: a and b are forming a linear pair.
q: a and b are forming a pair of adjacent angles.
Then,

(a) both p and q are true
(b) p is true and q is false
(c) p is false and q is true
(d) both p and q are false

Q.

Question 9 (i)
In the adjoining figure:

Is $\angle 1$ adjacent to $\angle 2$?

Q.

Q.

Question 86

Two lines AB and CD intersect at O (see the figure). Write all the pairs of adjacent angles by taking angles 1, 2, 3 and 4 only.

Q.

Question 32

Vertically opposite angles are always
(a) supplementary
(b) complementary
(c) adjacent
(d) equal

Q. In the given figure identify the pair of adjacent angles.

1. $\angle PQTand\angle RTS$
2. $\angle PQTand\angle PQR$
3. $\angle PQRand\angle QTS$
4. $\angle QTSand\angle RTS$

Q.

Question 81(ii)

If two angles have a common vertex and their arms form opposite rays (figure). Then,
How many types of angles are formed?

Q. Which of the following fractions is equivalent to 0.18?

1. $\frac{36}{50}$
2. $\frac{36}{100}$
3. $\frac{18}{50}$
4. $\frac{9}{50}$

Q. In the joining figure, name the following pairs of angles.
Adjacent angles that do not form a linear pair.

Q. In the given figure, are the following adjacent angles? Justify your answer.
(a) ∠AOB and ∠BOC
(b) ∠BOD and ∠BOC

Q.

Two triangular billboards are installed on a highway. Let the billboards be represented by $△$ABC and $△$DEF. The billboards are mechanically designed in such a way that the names of the vertices of $△$DEF are cyclically interchanged every 1 minute, i.e. the triangles remain the same way, only the names of the vertices change. At 10 AM, for the first time the positions of the billboards are such that we can say $△$ABC≅ $△$DEF. After x minutes, the billboards will be in such a way, that $△$ABC≅ $△$DEF for the second time. Find x.

Q. How many pairs of adjacent angles, in all, can you name in Fig.?

Q. The given angles are adjacent angles. What is the value of x?

1. ${47.5}^{\circ }$
2. ${50}^{\circ }$
3. ${57.5}^{\circ }$
4. ${67.5}^{\circ }$

Q. Which of the following is/are true about $\angle COB$ and $\angle BOA?$

1. Adjacent angles
2. Supplementary angles
3. Linear pair
4. Acute angles

Q.

Question 72(ii)

Write down each pair of adjacent angles shown in the following figure.

Q. Write down each pair of adjacent angles shown in Fig.

Q.

Question 72(iv)

Write down each pair of adjacent angles shown in the following figure.

Q.

Question 72(ii)

Write down each pair of adjacent angles shown in the following figure.

Q. Two angles are said to be angles if they have a common side and a common vertex.

1. opposite
2. interior
3. vertically opposite
4. adjacent

Q. How many pair of angles of linear pair are formed? Which?

Q. In the given figure are the following pairs of angles adjacent? Justify your answer.

Q.

Question 79(iii)

In the given figure P, Q and R are collinear points and TQ$\perp$ PR. Name four pairs of adjacent angles.

Q.

Find the measure of $3rightangles$ in degrees?