Mathematics

# Two supplementary angles are in ratio $4:5$. Find the measure of greater angle.

$\displaystyle { 100 }^{ o }$

##### SOLUTION
Let two angles be 4x and 5x
Sum of supplementary angles is $\displaystyle { 180 }^{ o }$
$\displaystyle \therefore \quad 4x+5x={ 180 }^{ o }$
$\displaystyle 9x={ 180 }^{ o }$
$\displaystyle x=\frac { 180 }{ 9 } ={ 20 }^{ o }$
So, one angle = $\displaystyle 4x=4\times 20={ 80 }^{ o }$
Another angle = $\displaystyle 5x=5\times 20={ 100 }^{ o }$
Larger of two angle is $\displaystyle { 100 }^{ o }$

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120431
Subjects 10
Chapters 88
Enrolled Students 151

#### Realted Questions

Q1 Subjective Hard
Draw an angle and label it as $\angle BAC.$ Construct another angle, equal to $\angle BAC.$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Lines $AB$ and $CD$ are parallel and $P$ is any point between the two lines as shown in figure. Show that $\angle{DPB}=x+y$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
Can two right angles be complementary?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Subjective Easy
In the adjoining figure, name the following pairs of angles.
Equal supplementary angles

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
Find the value of $x$, so that $AOB$ is a line.

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 23rd 09, 2020