Lines and Angles Test

Result

Lines and Angles Test - 34

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Weekly Quiz Competition

Question 1
1 / -0

Find the supplement of the following angle.
$$40^{\circ}$$

A
$$140$$

B
$$40$$

C
$$10$$

D
None of these

Solution

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

So,
The supplement angle of $$40^0$$ will be
$$=180^0-40^0=140^0$$

Hence, this is the answer.
Question 2
1 / -0

As shown in the given figure, according to corresponding angle theorem, which two angles are equal?

A
$$\angle 1$$ and $$\angle2$$

B
$$\angle 1$$ and $$\angle3$$

C
$$\angle 1$$ and $$\angle4$$

D
$$\angle 1$$ and $$\angle5$$

Solution

We have $$l||m$$ and $$t$$ is a transversal line which cuts $$l$$ and $$m$$.

Then, in this given figure according to corresponding angle theorem,
$$\angle1=\angle 5,\\ \angle 2=\angle 6,\\ \angle 3=\angle 7$$
and $$ \angle 4=\angle 8$$.

Hence, option $$D$$ is correct.
Question 3
1 / -0

Two angles are equal and supplementary to each other. find them.

A
$$ 90^0 , \, 90^0$$

B
$$ 30^0 , \, 150^0$$

C
$$ 45^0 , \, 45^0$$

D
None of these

Solution

$$\textbf{Step 1: Find angles using the sum of supplementary angles.}$$

$$\text{Let, } x, x\text{ be two angles}$$

$$\text{Now,}$$

$$x+x=180^\circ$$ $$[\textbf{Sum of supplementary angles }\boldsymbol{=180^\circ}]$$

$$\Rightarrow 2x=180^\circ$$

$$x=90^\circ$$

$$\textbf{Hence, Option A is correct.}$$
Question 4
1 / -0

As shown in above figure which of the following angles are equal

A
$$\angle1$$ and $$\angle2$$

B
$$\angle1$$ and $$\angle3$$

C
$$\angle1$$ and $$\angle4$$

D
None of the above

Solution

As we can see in the figure, both lines are diagonals of given rectangle.

So, we can say that
$$\angle 2=\angle 4$$ and
$$\angle 1=\angle 3$$ [opposite angles]
Question 5
1 / -0

What is the value of $$a-b$$

A
$$180^0$$

B
$$60^0$$

C
$$70^0$$

D
$$120^0$$

Solution

From figure, we can say
$$\angle a=120^0$$
and $$\angle b=60^0$$ ....Vertically opposite angles
Thus $$a-b=120-60=60^0$$
Question 6
1 / -0

What is the measure of supplementary angle of $$108^{\circ}$$?

A
$$76^{\circ}$$

B
$$62^{\circ}$$

C
$$72^{\circ}$$

D
$$82^{\circ}$$

Solution
Question 7
1 / -0

What is the measure of complementary angle of $$12^{\circ}$$?

A
$$68^{\circ}$$

B
$$78^{\circ}$$

C
$$88^{\circ}$$

D
$$72^{\circ}$$

Solution
Question 8
1 / -0

If $$l ||m$$ and CD is transversal, $$\angle 1$$ and $$\angle 2$$ represents _____

A
Co-interior angles

B
Corresponding angles

C
Alternate interior angles

D
Exterior angles

Solution

$$\angle 1$$ and $$\angle 2$$ are alternate interior angles.
Question 9
1 / -0

In the given figure, AB$$||$$CD and BC$$||$$DE, then the value of x is _____________.

A
$$95^o$$

B
$$90^o$$

C
$$85^o$$

D
$$80^o$$

Solution

$$\angle ABC=\angle BCD=85^\circ (\because AB||CD)$$
And $$\angle EDC=180-\angle BCD (\because BC||DE)$$
$$\Rightarrow x=180-85=95^\circ$$
Question 10
1 / -0

How many angles are less than $$90^o$$ inside the given figures?

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

Given,
Refer Fig.
Here $$\angle ABF,\angle BFC$$ and $$\angle FCD$$ is less than $$90^0$$.
So total $$3$$ angles are $$<90^0$$
option B is correct.