Lines and Angles Test

Result

Lines and Angles Test - 23

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Weekly Quiz Competition

Question 1
1 / -0

Example for a pair of parallel lines

A
corners of a room

B
railway track

C
sides of a triangle

D
none

Solution

Railway track represents pair of parallel lines because they do not intersect at any point and are parallel.
Question 2
1 / -0

Supplement angle of

A
$$122.7^{\circ}$$

B
$$131.7^{\circ}$$

C
$$132.7^{\circ}$$

D
$$132.4^{\circ}$$

Solution

Let the supplement be $$x$$
Sum of supplementary angles is $$180^{\circ}$$
$$x+47.3^{\circ}=180^{\circ}$$
$$x=180^{\circ}-47.3^{\circ}=132.7^{\circ}$$
Question 3
1 / -0

In the figure, $$\displaystyle PQ\parallel ST,\angle PQR={ 100 }^{ o }$$, and $$\displaystyle \angle RST={ 110 }^{ o }$$. Then $$\displaystyle \angle QRS$$ is equal to

A
$$\displaystyle { 80 }^{ o }$$

B
$$\displaystyle { 30 }^{ o }$$

C
$$\displaystyle { 70 }^{ o }$$

D
$$\displaystyle { 60 }^{ o }$$

Solution
Question 4
1 / -0

$$\displaystyle 170^{0}$$ is an example of-

A
Acute

B
Right

C
Obtuse

D
None of these

Solution

angles greater than 90 degrees and less than 180 degrees are known as obtuse angles..
hence 170 degrees is an example of obtuse angle..
Question 5
1 / -0

Which of the following are acute angles?

A
a and c

B
a and b

C
c and d

D
b and d

Solution

From the figure it is clearly visible that 'a' and 'b' are acute angles which lies between $$\displaystyle { 0 }^{ o }$$ to $$\displaystyle { 90 }^{ o }$$.
Question 6
1 / -0

An angle that is $$\displaystyle  { 1 }^{ o }$$ less than right angle is:

A
Reflex angle

B
Straight angle

C
Obtuse angle

D
Acute angle

Solution

Right angle measures $$\displaystyle  { 90 }^{ o }$$
$$\displaystyle  { 1 }^{ o }$$ less of right angle = $$\displaystyle { 90 }^{ o }-{ 1 }^{ o }$$
$$\displaystyle { 89 }^{ o }$$
Which is an acute angle.
Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Question 7
1 / -0

Range of an obtuse angle is:

A
$$[0˚, 90˚)$$

B
$$(0˚, 90˚]$$

C
$$[90˚, 180˚)$$

D
$$(90˚, 180˚)$$

Solution

Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
Question 8
1 / -0

Two adjacent angles whose sum is $$\displaystyle 180^{0}$$ is called

A
complementary angles

B
linear pair

C
vertically opposite angles

D
none

Solution

Two adjacent angles whose sum is $$180^o$$ is called linear pair.

Ex: $$70^o+110^o = 180^o$$ then these two angles is called a linear pair.
Question 9
1 / -0

Which of the following is obtuse angle?

A
Two right angles

B
One and half right angles

C
One right angle

D
Half a right angle

Solution

Right angle $$=90^{\circ}$$
One and half right angle $$=\dfrac { { 90 }^{ \circ } }{ 2 } +{ 90 }^{ \circ }={ 135 }^{ \circ }$$
which is greater than $$90^{\circ}$$
So it is an obtuse angle .
Option $$B$$ is correct.
Question 10
1 / -0

What is the range of reflex angle?

A
Greater than zero but less than $$\displaystyle { 90 }^{ o }$$

B
Greater than $$\displaystyle { 90 }^{ o }$$ but less than $$\displaystyle { 180 }^{ o }$$

C
Greater than $$\displaystyle { 180 }^{ o }$$ but less than $$\displaystyle { 360 }^{ o }$$

D
Equal to $$\displaystyle { 360 }^{ o }$$

Solution

Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ o }$$ and less than $$\displaystyle { 90 }^{ o }$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ o }$$ and less than $$\displaystyle {180 }^{ o }$$.
Right angle is the angle which is equal to $$90^o$$.

Now, by definition, reflex angle is the angle which is greater than $$\displaystyle {180}^{ o }$$ and less than $$\displaystyle {360 }^{ o }$$.
That is, angles larger than a straight angle but less than $$1$$ turn (between $$180^o$$ and $$360^o$$) are called reflex angles.

Therefore, the range of reflex angle is greater than $$180^o$$ but less than $$360^o$$.
Hence, option $$C$$ is correct.