Mathematics

Find the angle which is four times its complement.


SOLUTION
Let the angle be $$x^{\circ}.$$ Then it's complement = $$(4x)^{\circ}$$.

We know that if the sum of two angles is equal to $$90^{\circ}$$ then the angles are said to be complementary.

$$4x+x=90^{\circ}$$

$$\Rightarrow 5x=90^{\circ}$$

$$\Rightarrow x=90^{\circ}/5$$

$$\Rightarrow x=18^{\circ}$$

Hence, the angle = $$180^{\circ}$$ and its complement = $$(4\times 18^{\circ})=72^{\circ}$$
View Answers

You're just one step away

Create your Digital Resume For FREE on your name's sub domain "yourname.wcard.io". Register Here!


Subjective Medium Published on 09th 09, 2020
Next Question
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
Enroll Now For FREE

Realted Questions

Q1 Single Correct Medium
Find $$\angle x$$. 
  • A. $$57^{\circ}$$
  • B. $$58^{\circ}$$
  • C. $$115^{\circ}$$
  • D. $$65^{\circ}$$

Asked in: Mathematics - Straight Lines


1 Verified Answer | Published on 17th 08, 2020

View Answer
Q2 Single Correct Medium
Choose the correct option. 
$$91^{\circ}$$ is
  • A. Acute angle
  • B. Obtuse angle
  • C. Reflex angle
  • D. none of these

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q3 Subjective Medium
Can two right angles be complementary?

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q4 Subjective Medium
In the given figure, $$PQR$$ is a straight line. If:
$$\angle PQS=110^o$$; find $$\angle RQS$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Subjective Medium
If $$AB\parallel CD,$$ then find the value of and y  

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 23rd 09, 2020

View Answer