Adjacent Angles

Q. What is the difference between adjacent angles and linear pair angles?

Q.

Define adjacent angles.

Q.

Can two acute angles form a linear pair?

Q.

In the given figure OA and OB are opposite rays:

i) If x = 75${}^{\circ }$, then what is the value of y?

ii) If y = 110${}^{\circ }$, then what is the value of x?

Q.

In the figure, write all pairs of adjacent angles and all the linear pairs.

Q. From the following figure, find the adjacent angles.

1. $\angle$FOE and $\angle$BOC
2. $\angle$FOA and $\angle$EOD
3. $\angle$AOB and $\angle$BOC
4. $\angle$FOE and $\angle$DOC

Q.

Two angles which have a common vertex, a common arm and whose non common arms lie on either side of common arm are called ______ angles.

Q. Sum of two adjacent angles is 120 degrees. If one angle is 20 degrees, then the measure of other angle is.

1. 100 degrees
2. 90 degrees
3. 45 degrees
4. 140 degrees

Q.

A diagonal of a rectangle is inclined to one side of the rectangle at ${35}^{\circ }$. The acute angle between the diagonals is

1. 35

2. 60

3. 70

4. 80

Q.

In fig. TQ and TR are bisectors of $\angle$Q and $\angle$R respectively. If $\angle$QPR = ${80}^{\circ }$ and $\angle$PRT = ${30}^{\circ }$. Determine $\angle$TQR. [4 MARKS]

Q.

How many pairs of adjacent angles are formed.when two lines intersect in a point ?

Q.

Which of the following statements is not true about the figure given below?

1. $\angle$CBA = 90${}^{\circ }$

2. $\angle$DBC = 180${}^{\circ }$

3. $\angle$CBA and $\angle$DBA are supplementary.

4. $\angle$ABD = 60${}^{\circ }$

Q.

If a regular polygon is inscribed in a circle the sum of all the angles subtended by its sides at the centre is

1. 180^o

2. 120^o

3. 360^o

4. 90^o

Q.

In the given figure OA and OB are opposite rays:

If x = 75${}^{\circ }$, then what is the value of y in degrees?

___

Q.

A pair of angles with a common vertex and common arm are called

Q. If a ray is drawn from the vertex of an angle, dividing it into two parts, then the angles thus formed are?

1. complementary
2. supplementary
3. adjacent
4. opposite

Q.

In the given figure, AD = AB = AC, BD is parallel to CA and angle ACB = 65°. The measure of $\angle DAC$ is

1. ${50}^{\circ }$
2. ${150}^{\circ }$
3. ${80}^{\circ }$
4. ${130}^{\circ }$

Q.

In fig, if line PQ and RS intersect at point T, such that $\angle PRT={40}^{\circ }$ , $\angle RPT={95}^{\circ }$ and $\angle TSQ={75}^{\circ }$, find $\angle SQT$. [4 MARKS]

Q. D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC. Then ΔDEF is congruent to triangle

(a) ABC

(b) AEF

(c) BFD, CDE

(d) AFE, BFD, CDE

Q.

If two lines intersect at a point and if one pair of vertically opposite angles are acute, then the other pair of vertically opposite angles are.

1. Obtuse
2. Complementary
3. Supplementary
4. Right angle

Q.

In the adjoining figure, Name three collinear points.

Q. Why is sum of interior angle is 180?show me a video

Q. In the given figure, BD is a line segment and ∠BOA = 40°. The measure of ∠BOC is equal to

1. 50°
2. 60°
3. 80°
4. 90°

Q. Two lines AB and EF are parallel to a third line CD. Then AB and EF are

1. Parallel
2. Perpendicular
3. Intersect at 450

Q.

Refer to the figure below, which of the given options is correct.

1. ∠ABD is an obtuse angle.

2. ∠ABD is an acute angle.

3. ∠ABD is reflex angle

4. can't say

Q. A pair of angles with a common vertex and common arm are called

1. Adjacent angles
2. Complementary
3. Supplementary
4. None

Q.

With reference to the figure below, consider the two statements:

Statement 1: The points A, B, and C will lie on a straight line if x + y = ${180}^{\circ }$.

Statement 2: The angle on a straight line is ${180}^{\circ }$.

1. Both the statements are true and statement 2 is the correct explanation of statement 1.

2. Both the statements are true and statement 2 is not the correct explanation of statement 1.

3. Statement 1 is true and statement 2 is false.

4. Statement 1 is false and statement 2 is true.

Q.

In the figure below, lines AB and CD intersect at O. If $\angle AOC$ + $\angle BOE$ = ${70}^{\circ }$ and $\angle BOD={40}^{\circ }$, find $3\times \angle BOE$ in degrees.

1. 90

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

Q. In $\Delta PQR$ S is a point on PQ such that SR = QR = SP. and $\angle PSR={120}^{\circ }$ .Find $\angle P$ .