Lines and Angles Test

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Lines and Angles Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

Measure of an obtuse angle is:

A
$$> 0^{\circ}, < 90^{\circ}$$

B
$$> 90^{\circ}, < 180^{\circ}$$

C
$$> 0^{\circ}, < 270^{\circ}$$

D
$$> 0^{\circ}, < 180^{\circ}$$

Solution

Measure of an obtuse angle is always greater than $$0^o$$ and less than $$180^o$$.
Therefore, it can be written as
Obtuse angle is $$>$$ $$90^{\circ}$$ & $$<$$ $$180^{\circ}$$
Question 2
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Find x; if $$\angle\, 1\, =\, 5x\, +\, 15^{\circ}$$ and $$\angle\, 2\, =\, 28x$$, angles form linear pair.

A
$$40^{\circ}$$

B
$$140^{\circ}$$

C
$$5^{\circ}$$

D
$$20^{\circ}$$

Solution

$$\angle \, 1\, +\, \angle\, 2\, =\, 180^{\circ}$$ (Linear pair)
$$\Rightarrow\quad 5x\, +\, 15^{\circ}\, +\, 28x\, =\, 180^{\circ}$$
$$\Rightarrow\quad 33x\, =\, 180^{\circ}\, -\, 15\, =\, 165^{\circ}$$
$$\Rightarrow\quad x\, =\, \displaystyle \frac {165^{\circ}}{33}\, =\, 5^{\circ}$$.
Question 3
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The supplementary angle of $$120^o$$ is:

A
$$30^o$$

B
$$50^o$$

C
$$240^o$$

D
$$60^o$$

Solution

Let the supplementary angle be $$x$$
Sum of supplementary angles is $$180^{\circ}$$
$$\Rightarrow x+{ 120 }^{ \circ }={ 180 }^{ \circ }\\ \Rightarrow x={ 180 }^{ \circ }-{ 120 }^{ \circ }\\ \Rightarrow x={ 60 }^{ \circ }$$
Question 4
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The complementary angle of $$\displaystyle 30^{\circ}$$ is:

A
$$\displaystyle 60^{\circ}$$

B
$$\displaystyle 90^{\circ}$$

C
$$\displaystyle 150^{\circ}$$

D
none of these

Solution

We know, two angles are complementary when they add up to $$90^o.$$

Given, measure of one complementary angle is $$30^o.$$

$$\Rightarrow$$ Measure of other complementary angle $$=90^o-30^o$$ $$=60^o.$$

$$\therefore$$ Measure of a complementary angle of $$ 30^{o}=60^o$$.
Hence, option $$A$$ is correct.
Question 5
1 / -0

Complement angle of the angle is:

A
$$77.4^{\circ}$$

B
$$67.3^{\circ}$$

C
$$76.3^{\circ}$$

D
$$77.3^{\circ}$$

Solution

We know, two angles are complementary when they add up to $$90^o.$$

Given, measure of one complementary angle is $$12.7^o.$$

$$\Rightarrow$$ Measure of other complementary angle $$=90^o-12.7^o$$ $$=77.3^o.$$

$$\therefore$$ Measure of a complementary angle of $$ 12.7^{o}=77.3^o$$.
Question 6
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An angle which is more than $$180^{\circ}$$ and less than $$360^{\circ}$$ is called:

A
obtuse angle

B
right angle

C
reflex angle

D
complete angle

Solution

By definition, we know, an angle which is more than $$180^o$$ and less than $$360^o$$ is called reflex angle.
That is, an angle larger than a straight angle but less than $$1$$ turn (between $$180^o$$ and $$360^o$$) are called reflex angle.
Therefore, option $$C$$ is correct.
Question 7
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If l$$\displaystyle \parallel $$m and m $$\displaystyle \parallel $$ n then

A
l$$\displaystyle \parallel $$p

B
l$$\displaystyle \parallel $$q

C
m$$\displaystyle \parallel $$q

D
l$$\displaystyle \parallel $$n

Solution

Given: $$l\parallel m$$ and $$m\parallel n$$
From the above figure we can see that there are three lines $$l,m$$ and $$n$$ and $$l\parallel m$$ and $$m\parallel n$$.
From the figure it is clear that $$l$$ is also paralle to $$n$$.
So, $$\text{D}$$ is the correct option.
Question 8
1 / -0

$$\displaystyle 96^{0}$$ is an example of-

A
Acute

B
Obtuse

C
Right

D
None of these

Solution

obtuse angles are those angles which are greater than 90 degrees and less than 180 degrees..
so,96 degrees is an example of obtuse angle..
Question 9
1 / -0

If two angles in a triangle are 75$$\displaystyle ^{\circ}$$ and 95$$\displaystyle ^{\circ}$$ then the third angle is__

A
30$$\displaystyle ^{\circ}$$

B
20$$\displaystyle ^{\circ}$$

C
10$$\displaystyle ^{\circ}$$

D
40$$\displaystyle ^{\circ}$$

Solution

Because by angle sum property, the sum of angles is $$180^o$$.
Let n be the third angle.
$$\therefore 75\displaystyle ^{\circ} $$+ 95$$\displaystyle ^{\circ} $$+ n = 180$$\displaystyle ^{\circ} $$
$$\displaystyle \Rightarrow $$ n =10$$\displaystyle ^{\circ} $$
$$\displaystyle \therefore $$ Third angle = 10$$\displaystyle ^{\circ} $$
Question 10
1 / -0

A line AB is parallel to the line CD. This is symbolically written as

A
$$\overleftrightarrow{AB} \neq \overleftrightarrow{CD}$$

B
$$\overleftrightarrow{AB} = \overleftrightarrow{CD}$$

C
$$\overleftrightarrow{AB} \perp \overleftrightarrow{CD}$$

D
$$\overleftrightarrow{AB} || \overleftrightarrow{CD}$$

Solution

$$\Rightarrow$$ Line symbol is $$(\longleftrightarrow)$$.

$$\Rightarrow$$ Line $$AB$$ can be written as

$$\overleftrightarrow{AB}.$$

$$\Rightarrow$$ Line $$CD$$ can be written as

$$\overleftrightarrow{CD}.$$

$$\Rightarrow$$ A line $$AB$$ parallel line $$CD$$ can be written $$: \overleftrightarrow{AB}\parallel \overleftrightarrow{CD}.$$

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Lines and Angles Test - 22

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Lines and Angles Test - 22

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Question 1

$$> 0^{\circ}, < 90^{\circ}$$

$$> 90^{\circ}, < 180^{\circ}$$

$$> 0^{\circ}, < 270^{\circ}$$

$$> 0^{\circ}, < 180^{\circ}$$

Solution

Question 2

$$40^{\circ}$$

$$140^{\circ}$$

$$5^{\circ}$$

$$20^{\circ}$$

Solution

Question 3

$$30^o$$

$$50^o$$

$$240^o$$

$$60^o$$

Solution

Question 4

$$\displaystyle 60^{\circ}$$

$$\displaystyle 90^{\circ}$$

$$\displaystyle 150^{\circ}$$

none of these

Solution

Question 5

$$77.4^{\circ}$$

$$67.3^{\circ}$$

$$76.3^{\circ}$$

$$77.3^{\circ}$$

Solution

Question 6

obtuse angle

right angle

reflex angle

complete angle

Solution

Question 7

l$$\displaystyle \parallel $$p

l$$\displaystyle \parallel $$q

m$$\displaystyle \parallel $$q

l$$\displaystyle \parallel $$n

Solution

Question 8

Acute

Obtuse

Right

None of these

Solution

Question 9

30$$\displaystyle ^{\circ}$$

20$$\displaystyle ^{\circ}$$

10$$\displaystyle ^{\circ}$$

40$$\displaystyle ^{\circ}$$

Solution

Question 10

$$\overleftrightarrow{AB} \neq \overleftrightarrow{CD}$$

$$\overleftrightarrow{AB} = \overleftrightarrow{CD}$$

$$\overleftrightarrow{AB} \perp \overleftrightarrow{CD}$$

$$\overleftrightarrow{AB} || \overleftrightarrow{CD}$$

Solution

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