Lines and Angles Test

Result

Lines and Angles Test - 31

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Weekly Quiz Competition

Question 1
1 / -0

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

A
Alternate exterior angles

B
Alternate interior angles

C
Corresponding angles

D
Vertically opposite angles
Question 2
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 3
1 / -0

How many interior angles are there

A
$$3$$

B
$$4$$

C
$$5$$

D
$$2$$

Solution
Question 4
1 / -0

Angles $$m$$,$$o$$ and $$p$$ are

A
Exterior angles

B
Interior angles

C
Corresponding angles

D
Alternate angles

Solution

$${\textbf{Step 1: Observe the angles in the given figure}}$$
$${\text{Here 3 angles m,o,p are made by two parallel lines and one transversal}}{\text{.}}$$
$${\text{It is clear that they are on the inner side of those parallel lines}}{\text{.}}$$
$${\text{So m, o and p are interior angles}}{\text{.}}$$
$${\textbf{Hence, the correct option is}}{\textbf{ (B)}}{\text{.}}$$
Question 5
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 6
1 / -0

$$h$$ is

A
exterior angle

B
corresponding angle

C
Interior angle

D
alternate angle

Solution
Question 7
1 / -0

$$p$$ is

A
Interior angle

B
exterior angle

C
alternate angle

D
corresponding angle
Question 8
1 / -0

In the given figure, AB || CD. Find the value of x.

A
$${ 60 }^{ \circ }$$

B
$${ 40 }^{ \circ }$$

C
$${ 100 }^{ \circ }$$

D
$${ 15 }^{ \circ }$$

E
None of these

Solution
Question 9
1 / -0

In the given figure, if $$AB\parallel CD,\angle PTB={ 55 }^{ o }$$ and $$\angle{DVS}={45}^{o}$$, then what is the sum of the measures of $$\angle CUQ$$ and $$\angle RTP$$

A
$${180}^{o}$$

B
$${135}^{o}$$

C
$${110}^{o}$$

D
$${100}^{o}$$

Solution
Question 10
1 / -0

If the difference of two complementary angle in $${ 10 }^{ 0 }$$, then the smaller angle is

A
$${ 40 }^{ 0 }$$

B
$${ 50 }^{ 0 }$$

C
$${ 45 }^{ 0 }$$

D
$${ 85 }^{ 0 }$$