Lines and Angles Test

Result

Lines and Angles Test - 24

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
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 2
1 / -0

Sum of two obtuse angle results in:

A
Acute angle

B
Right angle

C
Obtuse angle

D
Reflex angle

Solution

Obtuse angle ranges from $$\displaystyle { 90 }^{ o }$$ to $$\displaystyle { 180 }^{ o }$$
So, sum of least obtuse angle is $$\displaystyle { 91 }^{ o }+{ 91 }^{ o }={ 182 }^{ o }$$, which is a reflex angle.
Now, sum of maximum obtuse angle is $$\displaystyle { 179 }^{ o }+{ 179 }^{ o }={ 358 }^{ o }$$, which is also a reflex 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 3
1 / -0

Which of the following is not an obtuse angle ?

A
$$\displaystyle { 127 }^{ o }$$

B
$$\displaystyle { 149 }^{ o }$$

C
$$\displaystyle { 175 }^{ o }$$

D
$$\displaystyle { 182 }^{ o }$$

Solution

Acute angle is the angle which is greater than $$\displaystyle { 0 }^{ \circ }$$ and less than $$\displaystyle { 90 }^{ \circ}$$.
Obtuse angle is the angle which is greater than $$\displaystyle { 90}^{ \circ }$$ and less than $$\displaystyle {180 }^{ \circ }$$.
Right angle is the angle which is equal to $$90^{\circ}$$.
Reflex angle is the angle which is greater than $$\displaystyle {180}^{ \circ }$$ and less than $$\displaystyle {360 }^{ \circ }$$.
$$\therefore \displaystyle { 182 }^{ \circ }$$ is a reflex angle, so it is not an obtuse angle.
Question 4
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 5
1 / -0

Find the measure of the missing angle in the triangle below.

A
$$35^o$$

B
$$40^o$$

C
$$45^o$$

D
$$50^o$$

E
$$55^o$$

Solution

By angle sum property, the sum of angles is $$180^o$$.
If we subtract the two given angles from $$ 180^0 $$, the result will be the missing angle which is $$ = 180^0 - 95^0 - 35^0 = 50^0 $$.
Therefore, the missing angle is $$ 50^0 $$.
Question 6
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 7
1 / -0

If one angle at a point is reflex angle, the other at that point may be :

A
Acute angle

B
Obtuse angle

C
Straight angle

D
Acute or obtuse angle

Solution

We know, the angle formed at a point is $$\displaystyle { 360 }^{ o }$$.
When one of angle is reflex, it range from $$\displaystyle { 180 }^{ o }$$ to $$\displaystyle { 360 }^{ o }$$.
If angle is $$\displaystyle { 200 }^{ o }$$ then the other angle is $$\displaystyle { 160 }^{ o }$$, i.e obtuse angle.
If one reflex angle is $$\displaystyle { 300 }^{ o }$$ then other angle is $$\displaystyle { 60 }^{ o }$$ i.e acute angle.
Hence, the option $$D$$ is correct.
Question 8
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 9
1 / -0

Which of the following is a reflex angle?

A
$$\displaystyle { 180 }^{ o }$$

B
$$\displaystyle { 360 }^{ o }$$

C
$$\displaystyle { 204 }^{ o }$$

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

Solution

We know, reflex angle must be between $$\displaystyle { 180 }^{ o }$$ and $$\displaystyle { 360 }^{ o }$$. It can't be equal to $$\displaystyle { 180 }^{ o }$$ or $$\displaystyle { 360 }^{ o }$$ as these are straight and complete angle, respectively.

Here, only $$204^o$$ is greater than $$180^o$$ and less than $$360^o$$.
Therefore, option $$C$$ is correct.
Question 10
1 / -0

In the figure aove, $$C$$ is the intersection of $$\bar { AD } $$ and $$\bar { BE } $$. If it can be determined, what is the measure of $$\angle BAC$$?

A
$${80}^{o}$$

B
$${100}^{o}$$

C
$${110}^{o}$$

D
$${115}^{o}$$

E
Cannot be determined from the given information

Solution

$$\angle BCA=\angle DCE$$ (Vertically opposite angles)
$$\Rightarrow \angle BCA=45^{\circ}$$
Now in $$\triangle ABC$$ using angle sum property
$$\angle BAC+\angle CBA+\angle BCA=180^{\circ}$$
$$\Rightarrow \angle BAC+{ 35 }^{ \circ }+{ 45 }^{ \circ }={ 180 }^{ \circ }\\ \Rightarrow \angle BAC={ 180 }^{ \circ }-{ 80 }^{ \circ }\\ \Rightarrow \angle BAC={ 100 }^{ \circ }$$

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Lines and Angles Test - 24

Result

Lines and Angles Test - 24

Score

-

Rank

-

SHARING IS CARING

Question 1

$$65$$

$$85$$

$$75$$

$$80$$

Solution

Question 2

Acute angle

Right angle

Obtuse angle

Reflex angle

Solution

Question 3

$$\displaystyle { 127 }^{ o }$$

$$\displaystyle { 149 }^{ o }$$

$$\displaystyle { 175 }^{ o }$$

$$\displaystyle { 182 }^{ o }$$

Solution

Question 4

Adjacent angles

Complementary

Supplementary

None

Solution

Question 5

$$35^o$$

$$40^o$$

$$45^o$$

$$50^o$$

$$55^o$$

Solution

Question 6

Linear pair

Supplementary angles

Complementary angles

Corresponding angles

Solution

Question 7

Acute angle

Obtuse angle

Straight angle

Acute or obtuse angle

Solution

Question 8

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

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

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

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

Solution

Question 9

$$\displaystyle { 180 }^{ o }$$

$$\displaystyle { 360 }^{ o }$$

$$\displaystyle { 204 }^{ o }$$

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

Solution

Question 10

$${80}^{o}$$

$${100}^{o}$$

$${110}^{o}$$

$${115}^{o}$$

Cannot be determined from the given information

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.