Lines and Angles Test

Result

Lines and Angles Test - 42

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Weekly Quiz Competition

Question 1
1 / -0

In figure, the reflex $$ \angle AOB$$ is equal to :

A
$$ 60^{\circ} $$

B
$$ 120^{\circ} $$

C
$$ 300^{\circ} $$

D
$$ 360^{\circ} $$

Solution
Question 2
1 / -0

A pair of corresponding angle is

A
$$r$$ and $$q$$

B
$$r$$ and $$s$$

C
$$t$$ and $$q$$

D
$$r$$ and $$t$$

Solution
Question 3
1 / -0

In figure, which of the following pairs of angles are corresponding angles:

A
$$ \angle 1, \angle 8 $$

B
$$ \angle 2, \angle 6 $$

C
$$ \angle 4, \angle 8 $$

D
$$ \angle 3, \angle 2 $$

Solution

Given is an image having a system of two parallel lines being intersected by a transversal.

In a system of two parallel lines being intersected by a transversal, the angles in corresponding corners are called corresponding angles.
For the given system, the pairs of corresponding angles are:
$$(i)\ \angle 1,\ \angle 8$$
$$(ii)\ \angle 4,\ \angle 7$$
$$(iii)\ \angle 2,\ \angle 5$$
$$(iv)\ \angle 3,\ \angle 6$$

So, amongst the given options, $$\angle 1,\angle 8$$ are corresponding angles.

Hence, option A is correct.
Question 4
1 / -0

$$M$$ and $$N$$ are

A
Alternate exterior angles

B
Alternate interior angles

C
Corresponding angles

D
Vertically opposite angles
Question 5
1 / -0

$$r$$ and $$s$$ are

A
Corresponding angles

B
Alternate interior angles

C
Pair of interior angles on same side

D
Alternate exterior angles

Solution
Question 6
1 / -0

An angle is $$18^{\circ}$$ less than its complementary angle. The measure of this angle is

A
$$36^{\circ}$$

B
$$48^{\circ}$$

C
$$83^{\circ}$$

D
$$81^{\circ}$$

Solution

$$\textbf{Step 1: Form equations using the concept of complementary angles.}$$

$$\text{Let, the smaller angle be }x$$
$$\therefore\text{Bigger angle }(x+18^\circ)$$

$$\text{We know, the sum of complementary angles is }$$$$90^\circ$$

$$\Rightarrow x+(x+18^\circ)=90^\circ$$

$$\Rightarrow 2x=90^\circ-18^\circ$$

$$\Rightarrow 2x=72^\circ$$

$$\Rightarrow x=36^\circ$$

$$\textbf{Hence, the correct option is A.} $$
Question 7
1 / -0

In the given figure, $$ABC$$ is an isosceles triangle with $$AB=AC$$. If $$AE=AF$$ and $$\angle BAE=40^0$$, then the measure of the angle $$FEC$$ is

A
$$15^0$$

B
$$20^0$$

C
$$40^0$$

D
$$60^0$$

Solution

Let $$\angle ABC=\angle ACB=\theta$$ and $$\angle CEF=X$$ then $$\angle AFE=\angle AEF=\theta+X$$
Now by the exterior angle property
$$\angle AEC=\angle ABE+\angle BAE$$
$$\Rightarrow \theta+2X=40+\theta\Rightarrow x=20^0$$
Question 8
1 / -0

A pair of alternate exterior angles is

A
$$a$$ and $$c$$

B
$$a$$ and $$d$$

C
$$c$$ and $$b$$

D
$$d$$ and $$b$$
Question 9
1 / -0

Lines AC and BD intersect at point E. Angle BEC is $$45^o$$. What is the measure of angle AEB?

A
Angle AEB is $$90^o$$

B
Angle AEB is $$115^o$$

C
Angle AEB is $$135^o$$

D
Angle AEB is $$180^o$$

E
Angle AEB is $$360^o$$
Question 10
1 / -0

If two straight lines intersect, the measures of the vertically opposite angles are ..........

A
Equal

B
Not equal

C
Right angle

D
Can't be deternrined