Lines and Angles Test

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Lines and Angles Test - 15

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Weekly Quiz Competition

Question 1
1 / -0

Find the angle which is $$30^o$$ more than its complement.

A
$$50$$

B
$$55$$

C
$$60$$

D
$$65$$

Solution

Let the required angle be $$ x$$.
Then, its complement $$=(90^o-x)$$.
Given, the angle is $$30^o$$ more than its complement.
Then, $$ x=(90^o-x)+30^o$$
$$\Rightarrow x+x=90^o+30^o$$
$$ \Rightarrow 2x=120^o\\ \Rightarrow x=\dfrac { 120 }{ 2 } ^o\\ \Rightarrow x={ 60 }^{ o }$$.

Therefore, option $$C$$ is correct.
Question 2
1 / -0

A ray stands on a line, then the sum of the two adjacent angles so formed is ______.

A
$$180^\circ$$

B
$$90^\circ$$

C
$$360^\circ$$

D
$$270^\circ$$

Solution

If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $$180^\circ$$ which is also known as a linear pair.
Question 3
1 / -0

Find the angle which is equal to its supplement

A
$$80$$

B
$$90$$

C
$$110$$

D
$$154$$

Solution

Let the required angle be $$x$$, then its supplement $$=(180-x)\quad $$
Given that $$ x=(180-x)$$
$$ \Rightarrow 2x=180\\ \Rightarrow x={ 90 }^{ o }
$$
Question 4
1 / -0

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $$180^o$$, then the lines are

A
parallel

B
intersecting

C
coincident

D
None of these

Solution

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $$180^{\circ}$$ then the lines are parallel.
Option $$A$$ is correct.
Question 5
1 / -0

Find the angle which is $$20^o$$ more than its supplement.

A
$$90$$

B
$$95$$

C
$$100$$

D
$$105$$

Solution

Let the required angle be $$x$$, then its supplement $$=(180-x)\quad $$
Given that $$ x=(180-x)+20$$
$$ \Rightarrow 2x=200\\ \Rightarrow x={ 100 }^{ o }
$$
Question 6
1 / -0

If an angle is $$28^o$$ less than its complement, find its measure.

A
$$31^o$$

B
$$131^o$$

C
$$28^o$$

D
$$32^o$$

Solution

Let the required angle be $$ x$$.
Then, its complement $$=(90^o-x)$$.
Given, the angle is $$28^o$$ less than its complement.
Then, $$ x=(90^o-x)-28^o$$
$$\Rightarrow x+x=90^o-28^o$$
$$ \Rightarrow 2x=62^o\\ \Rightarrow x=\dfrac { 62 }{ 2 } ^o\\ \Rightarrow x={ 31 }^{ o }$$.

Therefore, option $$A$$ is correct.
Question 7
1 / -0

Find the measure of the supplementary angle of $$54^o$$

A
$$26^o$$

B
$$126^o$$

C
$$34^o$$

D
$$134^o$$

Solution

$$Two\quad angles\quad are\quad supplementary\quad when\quad they\quad add\quad upto\quad form\quad 180\quad degrees\quad .\\ If\quad one\quad angle\quad =\quad 54\\ Let\quad the\quad other\quad angle\quad be\quad x\\ Hence\quad x\quad =\quad 180-54\\ =126\\ Hence\quad supplementary\quad angle\quad of\quad the\quad following\quad angle\quad is\quad 126$$
Question 8
1 / -0

Find the measure of the complementary angle of $$77^o$$.

A
$$43^o$$

B
$$70^o$$

C
$$47^o$$

D
$$13^o$$

Solution

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

Given, measure of one complementary angle is $$ 77^{\circ}$$.

$$\Rightarrow$$ Measure of other complementary angle $$=90^o-77^o$$ $$=13^o.$$

$$\therefore$$ Measure of a complementary angle of $$ 77^{o}=13^o$$.
Therefore, option $$D$$ is correct.
Question 9
1 / -0

Find the measure of the supplementary angle of $$138^\circ$$.

A
$$48^\circ$$

B
$$42^\circ$$

C
$$52^\circ$$

D
$$38^\circ$$

Solution

Two angles are supplementary when they add upto form $$180^o$$.
Given, one angle $$= 138^o$$.
Let the supplement angle be $$x$$
Hence, $$x= 180^o-138^o$$ $$=42^o$$
Hence, supplementary angle of the following angle is $$42^o$$.
Question 10
1 / -0

Find the measure of the complementary angle of each of $$20^o$$.

A
$$50^o$$

B
$$70^o$$

C
$$160^o$$

D
$$80^o$$

Solution

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

Given, measure of one complementary angle is $$= 20^{\circ}$$.

$$\Rightarrow$$ Measure of other complementary angle $$=90^o-20^o$$ $$=70^o.$$

$$\therefore$$ Measure of a complementary angle of $$20^{\circ}$$ $$= 70^{\circ}$$.
Therefore, option $$B$$ is correct.

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Re-Attempt Weekly Quiz Competition

Lines and Angles Test - 15

Result

Lines and Angles Test - 15

Score

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Rank

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SHARING IS CARING

Question 1

$$50$$

$$55$$

$$60$$

$$65$$

Solution

Question 2

$$180^\circ$$

$$90^\circ$$

$$360^\circ$$

$$270^\circ$$

Solution

Question 3

$$80$$

$$90$$

$$110$$

$$154$$

Solution

Question 4

parallel

intersecting

coincident

None of these

Solution

Question 5

$$90$$

$$95$$

$$100$$

$$105$$

Solution

Question 6

$$31^o$$

$$131^o$$

$$28^o$$

$$32^o$$

Solution

Question 7

$$26^o$$

$$126^o$$

$$34^o$$

$$134^o$$

Solution

Question 8

$$43^o$$

$$70^o$$

$$47^o$$

$$13^o$$

Solution

Question 9

$$48^\circ$$

$$42^\circ$$

$$52^\circ$$

$$38^\circ$$

Solution

Question 10

$$50^o$$

$$70^o$$

$$160^o$$

$$80^o$$

Solution

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