Lines and Angles Test

Result

Lines and Angles Test - 26

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Weekly Quiz Competition

Question 1
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 2
1 / -0

What is the measure of vertically opposite angle of $$71^{\circ}$$?

A
$$91^{\circ}$$

B
$$109^{\circ}$$

C
$$19^{\circ}$$

D
$$71^{\circ}$$
Question 3
1 / -0

A transversal intersects two or more than two lines at _________ points.

A
Same

B
Different

C
Equidistant

D
None of these

Solution

A transversal intersects two or more than two lines at different points.
Question 4
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 5
1 / -0

If two parallel lines are cut by a transversal, then each pair of corresponding angle are _______.

A
equal

B
obtuse

C
acute

D
$$90^0$$

Solution

If two parallel lines are cut by a transversal, then each pair of corresponding angles are equal.
Question 6
1 / -0

In the given figure, $$\angle QPB$$ is

A
$${ 60 }^{ o }$$

B
$${ 45 }^{ o }$$

C
$${ 30 }^{ o }$$

D
$${ 15 }^{ o }$$

Solution

$$2x+3x+x=180^o(\text{linear pair})$$
$$6x=180^o$$
$$x=30^o$$
Question 7
1 / -0

Lines $$PQ$$ and $$RS$$ intersect at $$O$$. If $$\angle POS=2\angle SOQ$$ then the four angles at $$O$$ are

A
$${ 30 }^{ o },{ 30 }^{ o },{ 120 }^{ o },{ 180 }^{ o }$$

B
$${ 60 }^{ o },{ 60 }^{ o },{ 120 }^{ o },{ 120 }^{ o }$$

C
$${ 60 }^{ o },{ 90 }^{ o },{ 90 }^{ o },{ 120 }^{ o }$$

D
$${ 30 }^{ o },{ 60 }^{ o },{ 90 }^{ o },{ 180 }^{ o }$$

Solution

$$x+2x=180 (linear pair)\Rightarrow x={ 60 }^{ o }\Rightarrow \angle SOP={ 120 }^{ o }$$
$$\therefore \text{four angle are at O}\quad are\ { 60 }^{ o },{ 60 }^{ o },{ 120 }^{ o },{ 120 }^{ o }\quad $$
Question 8
1 / -0

A transversal intersects two parallel lines. if the measure of one of the angle is $${50^0}$$, then the measure of its corresponding angle is ................

A
$${40^0}$$

B
$${130^0}$$

C
$${180^0}$$

D
$${50^0}$$

Solution

As we know that sum of two corresponding angle is always $$180^\circ.$$
One angle is given as $$50^\circ$$, if another angle is $$x$$ then
$$x=50^o$$
because corresponding angles are equal
Question 9
1 / -0

Find the complement of the angle $$63^o$$

A
$${70^ \circ}$$

B
$${27^ \circ}$$

C
$${45^ \circ}$$

D
$${62^ \circ}32'$$

Solution

We know, two angles are complementary when they add up to $$90^o.$$

Given, measure of one complementary angle is $$63^o.$$

$$\Rightarrow$$ Measure of other complementary angle $$=90^o-63^o$$ $$=27^o.$$

$$\therefore$$ Measure of a complementary angle of $$ 63^{o}=27^o$$.
Hence, option $$B$$ is correct.
Question 10
1 / -0

$$\begin{array} { l } { \text { In fig. find the values of } x \text { and } y \text { and then } } \\ { \text { Show that } A B \| C D } \end{array}$$

A
$$x=100$$ and $$y=130$$

B
$$x=230$$ and $$y=130$$

C
$$x=130$$ and $$y=130$$

D
None of these

Solution

From given figure

$$50^o+x=180^o$$.......(Linear pair)

$$x=180^o-50^o$$

$$x=130^o$$

Also,

$$y=130^o$$ .........(vertically opposite angles)

$$\therefore x=y$$

So, alternate angles are equal

If a transversal intersects two lines such that pair of alternate interior angles are equal, then lines are parallel.
$$AB||CD$$