Lines and Angles Test

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Lines and Angles Test - 27

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Weekly Quiz Competition

Question 1
1 / -0

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

A
Acute

B
Obtuse

C
Right

D
Straight

Solution

$$Obtuse \ angle$$ has measure more than that of $$right \ angle \ but \ less \ than \ 180\ degree$$
Hence correct answer is $$B) \ Obtuse$$
Question 2
1 / -0

An angle whose measure is the sum of the measures of two right angles is _______.

A
Acute

B
Obtuse

C
Right

D
Straight

Solution

Step 1: Straight angle
We know that the measure of a right angle is $$90^ \circ$$ and the measure of a straight angle is $$180^ \circ.$$
Therefore, sum of the measure of two right angles is $$(90+90)^ \circ=180^ \circ.$$
Thus an angle whose measure is the sum of two right angles is $$\text{Straight}.$$
Question 3
1 / -0

Choose the correct option.
$$20^{\circ}$$ is

A
Acute angle

B
Obtuse angle

C
Reflex angle

D
None of these

Solution
Question 4
1 / -0

Choose the correct option.
$$60^{\circ}$$ is

A
Acute angle

B
Obtuse angle

C
Reflex angle

D
none of these

Solution
Question 5
1 / -0

Choose the correct option:-
$$200^{\circ}$$ is ________.

A
Acute $$\angle$$

B
Obtuse $$\angle$$

C
Reflex $$\angle$$

D
none of these

Solution

The given measure of angle is $$200^o.$$
We know, reflex angles are angles measuring greater than $$180^o$$ and less than $$360^o.$$
$$\therefore$$ $$200^o$$ is a reflex angle.
Hence, option $$C$$ is correct.
Question 6
1 / -0

Open any two adjacent fingers of your hand. What kind of angle you get

A
acute

B
right

C
obtuse

D
straight

Solution

We get an acute angle.
Question 7
1 / -0

If the sum of two angles is equal to an obtuse angle, then which of the following is not possible?

A
One obtuse angle and one acute angle

B
One right angle and one acute angle

C
Two acute angles

D
Two right angles

Solution

Option [D] is the correct answer.
The sum of two right angles is exactly equal to $${180}^{o}$$, which is a straight angle not an obtuse angle.
Question 8
1 / -0

If the sum of two angles is an obtuse angle, then which of the following is not possible :

A
two acute angles

B
one obtuse angles one acute angle

C
two acute angles

D
two right angles

Solution

Two right angles (d), as the sum will result in a straight angle, which is not obtuse.
Question 9
1 / -0

If angle $$P$$ and angle $$Q$$ are supplementary and the measure of angle $$P$$ is $$60^o$$, then the measure of angle $$Q$$ is:

A
$$120^o$$

B
$$60^o$$

C
$$30^o$$

D
$$20^o$$

Solution

Option (a) is correct.
Given that $$\angle P +\angle Q=180^o$$
$$\Rightarrow 60^o +\angle Q=180^o$$
$$\Rightarrow \angle Q=180^o -60^o$$
$$\Rightarrow \angle Q=120^o$$
Question 10
1 / -0

Find $$x + y + z$$

A
$$ x+y+z = 180^{0}$$

B
$$ x+y+z = 360^{0}$$

C
$$ x+y+z = 480^{0}$$

D
$$ x+y+z = 540^{0}$$

Solution

Here, by exterior angle property, $$\angle y$$ being an exterior angle, will be the sum of opposite interior angles.
Then, $$\angle y= 90^o + 30^o = 120^{\circ}$$.

We know, by straight angle property, sum of angles on a straight line $$= 180^o$$.
Then, $$\angle z +30^o = 180^o$$
$$\implies$$ $$\angle z = 150^{\circ}$$.
Also, $$\angle x + 90^o = 180^o$$
$$\implies$$ $$\angle x = 90^{\circ}$$.
Therefore, $$ x +y +z = 120^o +150^o +90^o = $$ $$360^{\circ}$$.

Therefore, option $$B$$ is correct.

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Re-Attempt Weekly Quiz Competition

Lines and Angles Test - 27

Result

Lines and Angles Test - 27

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SHARING IS CARING

Question 1

Acute

Obtuse

Right

Straight

Solution

Question 2

Acute

Obtuse

Right

Straight

Solution

Question 3

Acute angle

Obtuse angle

Reflex angle

None of these

Solution

Question 4

Acute angle

Obtuse angle

Reflex angle

none of these

Solution

Question 5

Acute $$\angle$$

Obtuse $$\angle$$

Reflex $$\angle$$

none of these

Solution

Question 6

acute

right

obtuse

straight

Solution

Question 7

One obtuse angle and one acute angle

One right angle and one acute angle

Two acute angles

Two right angles

Solution

Question 8

two acute angles

one obtuse angles one acute angle

two acute angles

two right angles

Solution

Question 9

$$120^o$$

$$60^o$$

$$30^o$$

$$20^o$$

Solution

Question 10

$$ x+y+z = 180^{0}$$

$$ x+y+z = 360^{0}$$

$$ x+y+z = 480^{0}$$

$$ x+y+z = 540^{0}$$

Solution

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