Lines and Angles Test

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Lines and Angles Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

The clock shows the time in the morning. Then, angle represents _________ angle.

A
Acute

B
Obtuse

C
Reflex

D
Straight

Solution

Any angle which is larger than $$180^o$$ but smaller than $$360^o$$ is called as a reflex angle.
Here, the angle shown is larger than $$180^o$$ but smaller than $$360^o$$.
Hence, it is a reflex angle.
Therefore, option $$C$$ is correct.
Question 2
1 / -0

What is the measure of supplementary angle of $$32^{\circ}$$?

A
$$58^{\circ}$$

B
$$148^{\circ}$$

C
$$138^{\circ}$$

D
$$78^{\circ}$$

Solution

Required Measure of supplementary angle $$ =180-32$$
$$ =148^0$$
Question 3
1 / -0

The supplement of an acute angle is a/an __________ angle.

A
Acute

B
Obtuse

C
Right

D
Straight

Solution

We know acute angle $$< 90^{\circ}$$
Let us take an example.
$$\angle x = 45^{\circ}$$ .....$$x$$ is an acute angle
Supplement of $$x$$ is
$$180^{\circ} - 45^{\circ} = 135^{\circ}$$ ....it is an Obtuse angle
Obtuse angle $$> 90^{\circ}$$.
Question 4
1 / -0

An angle which measures more than $$90^o$$ but less than $$180^o$$ is called ___________.

A
Acute

B
Obtuse

C
Right

D
None of these

Solution

An angle which measures more than $$90^o$$ but less than $$180^o$$ is called as an obtuse angle.
Question 5
1 / -0

The measure of an angle is four times the measure of its supplementary angle. Then the angles are __________.

A
$$36^o, 144^o$$

B
$$40^o, 160^o$$

C
$$18^o, 72^o$$

D
$$50^o, 200^o$$

Solution

According to the problem,
The measure of an angle which is $$4$$ times its supplement.
Supplementary angles means, sum of angles is $$180^o$$
Let the measure of one angle be $$x$$, then the measure of its supplementary angle will be $$(180^o-x)$$.
According to the given condition,
$$\implies x=4(180^{o}-x)$$
$$\implies x=4\times 180^{o}-4x$$
$$\implies 5x=4\times 180^{o}$$
$$\implies x=4\times 36^{o}=144^{o}$$
Hence, $$x=144^{o}$$
so these angles are $$36^{\circ}$$, $$144^{\circ}$$
Hence the option $$(A)$$ is correct.
Question 6
1 / -0

Which one of the following is true for the given triangle?

A
$$\angle 3 = \angle 1 + \angle 2$$

B
$$\angle 1 = \angle 3 + \angle 2$$

C
$$\angle 2 = \angle 1 + \angle 3$$

D
Both (A) and (B)

Solution

In the given triangle, we can easily apply exterior angle property of triangle.
For given triangle $$XYZ$$,
$$\angle 1+\angle 2+\angle z=180^{o}$$
Also, $$\angle 3+\angle z=180^{o}$$ ......... (Linear pair of angles)
$$\angle 1+\angle 2+\angle z=\angle 3 +\angle z$$
$$\Rightarrow \angle 3=\angle 1+\angle 2$$ ...... (which is the Exterior angle property).

Hence, option $$A$$ is correct.
Question 7
1 / -0

The supplementary angle of an angle is one third of the angle. Then the angle and its supplement are __________.

A
$$135^o, 45^o$$

B
$$60^o, 180^o$$

C
$$120^o, 350^o$$

D
$$60^o, 120^o$$

Solution

Let the angle is $$x$$, and its supplementary angle is $$\dfrac{1}{3}x$$.
We know that the sum of the supplementary angles is $$180^o$$, then
$$x+\dfrac{1}{3}x=180^o\\ \Rightarrow \dfrac{4}{3}x=180$$
$$\Rightarrow x=\dfrac{180\times 3}{4}=135^o$$
It's supplementary angle $$=\dfrac{135}{3}=45^o$$
Question 8
1 / -0

Find the supplement of $$98^o$$:

A
$${82^ \circ }$$

B
$${124^ \circ }$$

C
$${122^ \circ }{45^\iota }$$

D
$${135^ \circ }{20^\iota }{26^{\iota \iota }}$$

Solution

The supplement of $${98}^{\circ}$$ is the angle that when added to $${98}^{\circ}$$ forms a straight angle $${180}^{\circ}$$
To determine the supplement, subtract the given angle from $${180}^{\circ}$$.
$${180}^{\circ}-{98}^{\circ}={82}^{\circ}$$
The supplement of $${98}^{\circ}$$ is $${82}^{\circ}$$
Question 9
1 / -0

____ pairs of corresponding angles formed by a transversal of two parallel lines.

A
Two

B
Three

C
Four

D
Eight

Solution

We know that
$$Four$$ pairs of corresponding angles formed by a transversal of two parallel lines.
Question 10
1 / -0

An angle whose measure is less than that of a right angle is ______.

A
Acute

B
Obtuse

C
Right

D
Straight

Solution

$$Acute \ angle$$ has measure less than $$right \ angle$$
Hence correct answer is $$A) \ Acute$$

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Re-Attempt Weekly Quiz Competition

Lines and Angles Test - 26

Result

Lines and Angles Test - 26

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SHARING IS CARING

Question 1

Acute

Obtuse

Reflex

Straight

Solution

Question 2

$$58^{\circ}$$

$$148^{\circ}$$

$$138^{\circ}$$

$$78^{\circ}$$

Solution

Question 3

Acute

Obtuse

Right

Straight

Solution

Question 4

Acute

Obtuse

Right

None of these

Solution

Question 5

$$36^o, 144^o$$

$$40^o, 160^o$$

$$18^o, 72^o$$

$$50^o, 200^o$$

Solution

Question 6

$$\angle 3 = \angle 1 + \angle 2$$

$$\angle 1 = \angle 3 + \angle 2$$

$$\angle 2 = \angle 1 + \angle 3$$

Both (A) and (B)

Solution

Question 7

$$135^o, 45^o$$

$$60^o, 180^o$$

$$120^o, 350^o$$

$$60^o, 120^o$$

Solution

Question 8

$${82^ \circ }$$

$${124^ \circ }$$

$${122^ \circ }{45^\iota }$$

$${135^ \circ }{20^\iota }{26^{\iota \iota }}$$

Solution

Question 9

Two

Three

Four

Eight

Solution

Question 10

Acute

Obtuse

Right

Straight

Solution

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