Mathematics

# The complement of $(90^\circ-a)$ is :

a

##### SOLUTION
Let the complement be $x$
Sum of complementary angles is $90^{\circ}$
$\Rightarrow x+{ (90-a) }^{ \circ }={ 90 }^{ \circ }\\ \Rightarrow x-a={ 90 }^{ \circ }-{ 90 }^{ \circ }\\ \Rightarrow x=a$
So the complement is $a$

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 87

#### Realted Questions

Q1 Subjective Medium
In the given figure, $AB$ is perpendicular to $BC$ at $B$.
Find:(i) the value of $x$.
(ii) The complement of angle $x$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Single Correct Medium
In. triangle ABC,$\angle A$ + $\angle B$ = 144 and$\angle A$ + $\angle C$ = 124.
Calculate smallest angle of the triangle.
• A. $56^o$
• B. $46^o$
• C. none of these
• D. $36^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Single Correct Medium
In the figure, lines $j$ and $k$ are parallel. Find the value of $\angle Q$.
• A. $55^o$
• B. $75^o$
• C. $130^o$
• D. $50^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020

Q4 One Word Medium
In Fig., $POS$ is a line, find $x$.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Single Correct Medium
In the given figure below points $A, O$, and $C$ lie on the same line. What is the sum of the measures of $\angle AOD$ and $\angle DOC$?
• A. $\displaystyle 90^{\circ}$
• B. $\displaystyle 270^{\circ}$
• C. $\displaystyle 360^{\circ}$
• D. $\displaystyle 180^{\circ}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020