Lines and Angles Test

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Lines and Angles Test - 18

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Weekly Quiz Competition

Question 1
1 / -0

$$p||q,r||s$$ then p is _____.

A
$$p||s$$

B
$$p||r$$

C
not parallel to s

D
none of these

Solution

Given $$p||q$$ and $$r||s$$.
No relation is given between line $$p$$ with $$r$$ and $$s$$
So $$p$$ is not parallel to $$s$$
Option $$C$$ is correct.
Question 2
1 / -0

The measure of $$\displaystyle \angle POQ$$ in the following figure is:

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

B
$$\displaystyle 70^{\circ}$$

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

D
$$\displaystyle 110^{\circ}$$

Solution

If two straight lines intersect the measures of vertically opposite angles are equal.
Given, $$\angle SOR=110^o$$
Therefore, $$\angle SOR=\angle POQ$$
$$\Rightarrow \displaystyle \angle POQ=110^{\circ}$$
Question 3
1 / -0

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 4
1 / -0

If sum of two angles is $$\displaystyle { 90 }^{ o }$$. They will be:

A
Linear pair

B
Supplementary angles

C
Complementary angles

D
Corresponding angles

Solution

By definition we know that two angles, the sum of whose measure is $$ { 90^o } $$ are called complimentary angles.
Then, such angles are called complement of each other.

E.g.: Let the measure of one complementary angle is $$58^o.$$
$$\Rightarrow$$ Measure of other complementary angle $$=90^o-58^o$$ $$=32^o.$$
$$\therefore$$ Measure of the complementary angle of $$ 58^{o}=32^o$$.
Hence, $$ 58^{o}$$ and $$32^o$$ are complements of each other.
That is, if the sum of two angles is $$90^o$$
Therefore, option $$C$$ is correct.
Question 5
1 / -0

If two angles are supplementary, then their sum is

A
$$90^o$$

B
$$180^o$$

C
$$270^o$$

D
$$360^o$$

Solution

If two angles are supplementary , then their sum is $${ 180 ^o } $$
Question 6
1 / -0

Two angles are supplementary, if one of them is $$\displaystyle { 49 }^{ o }$$. Find the other angle?

A
$$\displaystyle { 139 }^{ o }$$

B
$$\displaystyle { 131 }^{ o }$$

C
$$\displaystyle { 141 }^{ o }$$

D
$$\displaystyle { 135 }^{ o }$$

Solution

Since, two angles are supplementary their sum is $$\displaystyle { 180 }^{ o }$$
$$\displaystyle \angle 1+\angle 2={ 180 }^{ o }$$
$$\displaystyle { 49 }^{ o }+\angle 2={ 180 }^{ o }$$ (As one of the angle is $$\displaystyle { 49 }^{ o }$$
$$\displaystyle \angle 2={ 180 }^{ o }-{ 49 }^{ o }$$
$$\displaystyle ={ 131 }^{ o }$$
Question 7
1 / -0

The value of $$y$$ in the given figure is _____

A
$$65$$

B
$$85$$

C
$$75$$

D
$$80$$

Solution

Given, $$\angle ABC=115^{\circ}$$

$$\angle ABC$$ and $$\angle CBD$$ form linear pair.

So,
$$\angle ABC+\angle CBD=180^{\circ}$$
$$\Rightarrow 115^{\circ}+y^{\circ}=180^{\circ}$$
$$\Rightarrow y^{\circ}=180^{\circ}-115^{\circ}$$
$$\Rightarrow y^{\circ}=65^{\circ}$$

Hence, the value of $$y$$ is $$65$$.
Question 8
1 / -0

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

A
Adjacent angles

B
Complementary

C
Supplementary

D
None

Solution

A pair of angles with a common vertex and common arm are called adjacent angles.
Question 9
1 / -0

Two angles the sum of whose measure is $$90^{\circ}$$ are called ______ angles.

A
Supplementary

B
Complementary

C
Corresponding

D
None of these

Solution

By definition we know that two angles, the sum of whose measure is $$ { 90^o } $$ are called complementary angles.
Then, such angles are called complement of each other.

E.g.: Let the measure of one complementary angle is $$58^o.$$

$$\Rightarrow$$ Measure of other complementary angle $$=90^o-58^o$$ $$=32^o.$$

$$\therefore$$ Measure of the complementary angle of $$ 58^{o}=32^o$$.
Hence, $$ 58^{o}$$ and $$32^o$$ are complements of each other.

Therefore, option $$B$$ is correct.
Question 10
1 / -0

Find the supplement of the angle
$$148^{\circ}$$

A
$$32^{\circ}$$

B
$$122^{\circ}$$

C
$$148^{\circ}$$

D
None of these

Solution

We know that the supplement angle
$$=180^0-\theta$$

So,
The supplement angle of $$148^0$$ will be
$$=180^0-148^0=32^0$$

Hence, this is the answer.

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Lines and Angles Test - 18

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Lines and Angles Test - 18

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SHARING IS CARING

Question 1

$$p||s$$

$$p||r$$

not parallel to s

none of these

Solution

Question 2

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

$$\displaystyle 70^{\circ}$$

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

$$\displaystyle 110^{\circ}$$

Solution

Question 3

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

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

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

none of these

Solution

Question 4

Linear pair

Supplementary angles

Complementary angles

Corresponding angles

Solution

Question 5

$$90^o$$

$$180^o$$

$$270^o$$

$$360^o$$

Solution

Question 6

$$\displaystyle { 139 }^{ o }$$

$$\displaystyle { 131 }^{ o }$$

$$\displaystyle { 141 }^{ o }$$

$$\displaystyle { 135 }^{ o }$$

Solution

Question 7

$$65$$

$$85$$

$$75$$

$$80$$

Solution

Question 8

Adjacent angles

Complementary

Supplementary

None

Solution

Question 9

Supplementary

Complementary

Corresponding

None of these

Solution

Question 10

$$32^{\circ}$$

$$122^{\circ}$$

$$148^{\circ}$$

None of these

Solution

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