Mathematics

Two supplementary angles are in the ratio 4:5. Find the angles.


ANSWER

$$80^{\circ},100^{\circ}$$


SOLUTION
The given ratio of supplementary angles is $$4:5$$ 
Let the angles be $$4x$$ and $$5x$$
$$\Rightarrow$$  $$4x+5x=180^o$$
$$\Rightarrow$$  $$9x=180^o$$
$$\Rightarrow$$  $$x=\dfrac{180^o}{9}$$
$$\Rightarrow$$  $$x=20^o$$
$$\Rightarrow$$  $$4x=4\times 20^o=80^o$$
$$\Rightarrow$$  $$5x=5\times 20^o=100^o$$
$$\therefore$$  Two supplementary angles are $$80^o$$ and $$100^o.$$
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!


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

Realted Questions

Q1 TRUE/FALSE Medium
Two obtuse angles can form a linear pair.
  • A. True
  • B. False

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q2 Single Correct Medium
In the adjoining figure it is given that $$\displaystyle l  \left |  \right |m$$; t is a transversal ; then the value of x is
  • A. $$\displaystyle 50^{\circ}$$
  • B. $$\displaystyle 120^{\circ}$$
  • C. None
  • D. $$\displaystyle 130^{\circ}$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 23rd 09, 2020

View Answer
Q3 Subjective Medium
In the adjoining figure, find the value of $$x$$.

Asked in: Mathematics - Straight Lines


1 Verified Answer | Published on 17th 08, 2020

View Answer
Q4 Single Correct Medium
The measure of the complementary angle of a given angle is $$\dfrac { 1 }{ 4 } $$ times the measure of its supplementary angle. What is the measure of that angle?
  • A. $${ 35 }^{ \circ }$$
  • B. $${ 40 }^{ \circ }$$
  • C. $${ 45 }^{ \circ }$$
  • D. $$70^{\circ}$$
  • E. $${ 60 }^{ \circ }$$

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer
Q5 Subjective Medium
From the adjoining figure find $$x$$,  i $$AOB$$ is a straight line. Hence complete the following 
Which is an acute angle?

Asked in: Mathematics - Lines and Angles


1 Verified Answer | Published on 09th 09, 2020

View Answer