Angles on a Straight Line

Q.

Two angles whose sum, is ${180}^{\circ }$ are called supplementary angles. Four angles are formed at the intersection of two lines. How many pairs of supplementary angles and equal angles are formed?

1. Two pairs of each.

2. Two pairs of supplementary and one pair of equal angles.

3. One pair of supplementary and two pairs of equal angles.

4. Four pairs of supplementary and two pairs of equal angles.

Q. The value of $(\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}})÷\sqrt{\frac{16}{81}}$ is

1. $\frac{1}{48}$
2. $\frac{5}{48}$
3. $\frac{5}{16}$
4. $\frac{1}{16}$

Q.

What is the sum of the measures of the two adjacent angles in a linear pair?

1. $75$ degrees
2. $180$ degrees
3. $90$ degrees
4. $270$ degrees

Q.

In figure, lines XY and MN intersect at O. If $\angle POY={90}^{\circ }$ and a : b = 2 : 3, find 'c'.

1. ${126}^{\circ }$

2. ${36}^{\circ }$

3. ${54}^{\circ }$

4. ${90}^{\circ }$

Q. A bus can cover 60 km using 5 litres of diesel. Find the diesel required for a bus journey of 144 km.

1. 16
2. 10
3. 14
4. 12

Q. Which of the following is an example of obtuse angle ?

1. 
2. 
3. 
4. 

Q. Question 2
In the given figure, If $AB||CD,CD||EF$ and $y:z=3:7$, find x.

Q. Question 7
Two adjacent angles are equal. Is it necessary that each of these angles will be a right angle? Justify your answer.

Q.

In the figure given, what is the value of 't' ?

1. $5^{\circ }$

2. ${10}^{\circ }$

3. ${15}^{\circ }$

4. ${20}^{\circ }$

Q.

Write down a pair of integers whose,

$\left(\mathrm{a}\right)$ the sum is $-7$.

Q.

$\sqrt{\frac{0.289}{0.00121}}=?$

1. $\frac{1.7}{11}$

2. $\frac{17}{11}$

3. $\frac{170}{11}$

4. $\frac{17}{110}$

Q. What is a linear pair?

Q. The product of two integers is 42. If one of the integers is -6, what is the value of the other?

1. -7
2. 252
3. -252
4. 7

Q.

Two adjacent angles add up to ${180}^{\circ }$.

1. True

2. False

Q.

In the figure below, x = ${30}^{\circ }$. The value of (6y – 3x) is ___.

1. 

2. 

3. 

4. 

Q.

Question 71

State whether the statement is True or False.

Two adjacent angles always form a linear pair.

Q.

Two supplementary angles are in the ratio 3: 2. Find the greater angle.

1. ${108}^o$

2. $0^{\circ }$

3. ${40}^{\circ }$

4. ${180}^{\circ }$

Q.

(a) In the given figure, prove that lines lm & nq are parallel to each other.

(b) What is the value of "x” if AB is parallel to CD in the figure?

[3 MARKS]

Q.

Three lines AB, CD and EF interesect each other at O. If $\angle AOE={30}^{\circ }and\angle DOB={40}^{\circ }$ (see the figure). Find $\angle COF.$

1. ${70}^{\circ }$

2. ${110}^{\circ }$

3. ${55}^{\circ }$

4. ${90}^{\circ }$

Q.

(a) There are two sets of parallel lines passing through a plane. A transversal cuts the two sets of lines. Find the number of distinct points of intersection.

(b) The following diagram shows parallel lines cut by a transversal. Find x. [3 MARKS]

Q.

Question 93

In the given figure, OB is perpendicular to OA and $\angle$BOC = ${49}^{\circ }$. Find $\angle$ AOD

1. ${139}^{\circ }$

2. ${49}^{\circ }$

3. ${311}^{\circ }$

4. ${149}^{\circ }$

Q.

Three angles that add up to $180°$ are in the ratio $2:3:7$. Find them.

Q. What are corresponding angles?

Q. If the angles $(2a-10{)}^{\circ }$ and $(a-11{)}^{\circ }$ are complementary, then find the value of a.

1. 37

Q. Find the value of $\sqrt{11.56}$

1. 4.4
2. 3.4
3. 2.6
4. 4.6

Q. The sum of two integers is -23. If one of the integers is 14, then find the other.

1. -37
2. -9
3. 37
4. 9

Q. Find the number of angles in the given figure.[ 3 marks]

Q. Angles of a triangle are in the ratio $3:4:5$. Find the angles.

Q.

Which of the following statements are true about the figure given below?

1. ∠DBC = 180^o

2. ∠CBA = 90^o

3. ∠CBA and ∠DBA are supplementary.

4. ∠ABD = 60^o

Q.

Subtract:

$(-15)$ from $25$