Linear Pair

Q.

In a $∆\mathrm{ABC},\angle \mathrm{C}=3\angle \mathrm{B}=2(\angle \mathrm{A}+\angle \mathrm{B})$ . Find the three angles.

Q.

The acute angles of a right triangle are in the ratio $4:5$ . Find the measure of these angles .

Q.

Two complementary angles differ by $10$ degrees. Find the angles.

Q.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

1. 

2. 

3. 

4. 

Q. 2 angles forming a linear pair are in the ratio of 4:5. Find the angles.
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Q.

Question 4

Draw an angle of measure ${153}^{\circ }$ and divide it into four equal parts.

Q.

Write the supplement of the angle$69°$.

Q. In the given figure, lines AB, CD and EF intersect at O. Find the measure of $\angle COF$.

1. 100°
2. 95°
3. 105°
4. 135°

Q.

In the figure given below, prove that $p\parallel m$. [4 MARKS]

Q.

Find the value of x. Write the measure of BOC. 2x-10 and 3x plus 20 degrees

Q.

Ratio of two angle of a linear pair is 7:5.Find the angles

Q. Find the measure of $\angle$ BOC from the given figure.

1. 60°
2. 120°
3. 80°
4. 40°

Q. PQR is a straight line.

What is the value of x?

1. ${25}^{\circ }$
2. ${20}^{\circ }$
3. ${15}^{\circ }$
4. ${30}^{\circ }$

Q.

The angles of a triangle are in the ratio $4:5:6$, find their measures in degrees

Q. Question 1
In the given figure, find the values of x and y and then show that AB || CD.

Q.

Linear pair of angles is complementary. Say true or false.

1. True

2. False

Q.

Question 14
In the given figure, POQ is a line. If $x={30}^{\circ }then\angle QOR$ is

(a) ${90}^{\circ }$
(b) ${30}^{\circ }$
(c) ${150}^{\circ }$
(d) ${60}^{\circ }$

Q.

Two angles $aandb$ form a linear pair, and $2a-3b={60}^{\circ }$ then $5b=$___ degrees.

Q.

The angles of a triangle are in the ratio $5:3:7$. The triangle is -

1. An acute-angled triangle

2. An obtuse-angled triangle

3. A right triangle

4. An isosceles triangle

Q.

Question 84(ii)

What is the type of the other angle of a linear pair, if one of its angles is obtuse?

Q.

Question 9 (iii)
In the adjoining figure:

Do $\angle$COE and $\angle$EOD form a linear pair?

Q.

Fill in the blanks:

(i) If two angles are complementary, then the sum of their measures is _______.

(ii) If two angles are supplementary, then the sum of their measures is _______.

(iii) Two angles forming a linear pair are _______.

(iv) If two adjacent angles are supplementary, they form a _______.

(v) If two lines intersect at a point, then the vertically opposite angles are always _______.

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

Q.

Question 31

In the given figure, POQ is a line, then a is equal to

(a) ${35}^{\circ }$
(b) ${100}^{\circ }$
(c) ${80}^{\circ }$
(d) ${135}^{\circ }$

Q.

In the given figure, AB || CD. Find the measure of x, y and z.

1. $x={50}^{\circ }$, $y={90}^{\circ }$ and $z={40}^{\circ }$

2. $x={40}^{\circ }$, $y={90}^{\circ }$ and $z={50}^{\circ }$

3. $x={40}^{\circ }$, $y={50}^{\circ }$ and $z={90}^{\circ }$

4. $x={90}^{\circ }$, $y={40}^{\circ }$ and $z={50}^{\circ }$

Q.

Question 30

In the given figure, lines PQ and ST intersect at O. If $\angle POR={90}^{\circ }$and
x:y = 3:2, then z is equal to

(a) ${126}^{\circ }$
(b) ${144}^{\circ }$
(c) ${136}^{\circ }$
(d) ${154}^{\circ }$

Q. Linear pair angles are always:

1. Complementary angles
2. Equal angles
3. Supplementary angles
4. Corresponding angles

Q. The difference between a two digit number and the number obtained by the interchanging the digits is $27$. What is the difference between the two digits of the number?

1. $9$
2. $6$
3. $12$
4. $3$

Q.

From the given figure, find the value of a & b respectively.

1. ${120}^{\circ },{60}^{\circ }$

2. ${130}^{\circ },{50}^{\circ }$

3. ${60}^{\circ },{120}^{\circ }$

4. ${100}^{\circ },{80}^{\circ }$

Q.

Question 116

In the given figure, find the measures of \(\angle x\) and \(\angle y\).

Q.

In the given figure, find the value of $\angle$ BAC. Given: $\Delta$DEF is equilateral, $\angle$CBA =40${}^{\circ }$, $\angle$FEC =50${}^{\circ }$ and DE is parallel to BC.

1. 60⁰

2. 70⁰

3. 110⁰

4. 50⁰