Shapes and Angles Test 1

Result

Shapes and Angles Test 1

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Question 1
1 / -0

Name the angle formed at each corner of an envelope.

A
Acute angle

B
Obtuse angle

C
Right angle

D
Straight angle

Solution

The envelope is nothing but rectangular in shape
$$\therefore$$ Each corner angle of Envelope is $$90^o$$ i.e. right angle.
Question 2
1 / -0

Fill in the blanks with the correct word from the options given.
Vertical angles are .......... right angles.

A
Always

B
Never

C
Sometimes

D
Data Insufficient

Solution

Vertical angles can be sometime right angle as shown in the figure.
So option $$C$$ is correct.
Question 3
1 / -0

What is the angle formed between the two hands of a clock at the time $$3:00?$$

A
Right

B
Acute

C
Obtuse

D
Left

Solution

First, note that a clock is a circle made of $$360$$ degrees and that each number represents an angle and the separation between them is $$360/12 = 30$$. And at $$3:00,$$ the minute hand is on the $$12$$ and the hour hand is on the $$3.$$

The correct answer is $$3 * 30 = 90$$ degrees.

At $$3$$ o' clock the angle formed between the two hands of a clock is $$right \ angled$$.

Hence the correct answer is option $$A$$.
Question 4
1 / -0

In Fig, POQ is a line. The value of x is:

A
$$20^0$$

B
$$25^0$$

C
$$30^0$$

D
$$35^0$$

Solution

Sum of the angles forming a linear pair is $$180^\circ$$
Here angles measuring $$40^\circ, 4x$$ and $$3x$$ form a linear pair.
So, $$40^\circ+4x+3x=180^\circ$$
$$7x+40^\circ=180^\circ$$
$$x=20^\circ$$
Question 5
1 / -0

$$\displaystyle 179^{\circ}$$ is an example of

A
obtuse angle.

B
acute angle.

C
right angle.

D
None of the above

Solution

An obtuse angle is an angle which is more than $$90^o $$ but less than $$180^o$$.
Hence $$\displaystyle 179^{\circ}$$ is an example of obtuse.

Hence $$Op-A$$ is correct.
Question 6
1 / -0

$$\displaystyle 89^{\circ}$$ is an example of :

A
obtuse

B
acute

C
right

D
None of the above

Solution

Angles between $$ {0}^{o} $$ and $$ {90}^{o} $$ are acute angles. Hence, $$ {89}^{o} $$ is an acute angle.
Question 7
1 / -0

At $$4:15$$, the angle formed between the two hands of a clock is:

A
acute

B
obtuse

C
right angle

D
none of these

Solution

At $$4:15$$, the hour will be between $$4$$ and $$5$$.
And minute hand will be on $$3$$.
Thus, the angle formed between these two hands will be less than $$90^{o}$$.
Hence, they form a acute angle.
Question 8
1 / -0

$$\displaystyle \angle AOB$$ is a / an _____________ angle.

A
acute

B
right

C
obtuse

D
none of these

Solution

An obtuse angle is one which measures more than $$90^o$$ but less than $$180^o$$.
Question 9
1 / -0

$$\angle ABC$$ in the following figure is a / an:

A
acute angle

B
obtuse angle

C
reflex angle

D
straight angle

Solution

Angles larger than a straight angle but less than complete angle (i.e. between $$180^o$$ and $$360^o$$) are called reflex angles.

Here, the given $$\angle ABC$$ measures greater than $$180^o$$ but less than $$360^o$$.
Hence, the given angle is a reflex angle.
Therefore, option $$C$$ is correct.
Question 10
1 / -0

Given : AB || CD.

If $$\angle\, 2$$ is an acute angle, then $$\angle\, 1$$ is

A
Acute

B
Right

C
Obtuse

D
Straight

Solution

$$\angle 1$$ and $$\angle 2$$ are supplementary angles .
$$\Rightarrow \angle 1+\angle 2={ 180 }^{ \circ }$$
Now $$\angle 2$$ is given acute
$$\Rightarrow \angle 2<{ 90 }^{ \circ }$$
$$\Rightarrow \angle 1>{ 90 }^{ \circ }$$
So it is an obtuse angle.