Mathematics

# Two supplementary angles are in the ratio $3:2$. The smaller angle measures?

$72^o$

##### SOLUTION
Given two supplementary angles are in the ratio $3:2$.
Let the measurement of the angles  be $3x$ and $2x$.
Two angles are said to be supplementary if they sum upto $180^o$.
Then we have,
$3x+2x=180^{o}$
$5x=180^o$
or, $x=36^o$.
So the  smaller angle is $36^o\times 2=72^o$.

You're just one step away

Single Correct Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86

#### Realted Questions

Q1 Subjective Medium
Classify the angles whose magnitudes are given below:
$181^{o}$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q2 Subjective Medium
Find the complement of the following angle:
$47^\circ$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q3 Subjective Medium
What is an Obtuse Angle ?

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q4 Single Correct Medium
Mark the correct alternative of the following.
In figure, AB$||$CD, $\angle OAB=150^o$ and $\angle OCD=120^o$. Then, $\angle AOC=?$
• A. $80^o$
• B. $70^o$
• C. $100^o$
• D. $90^o$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020

Q5 Subjective Medium
Iron roads $a,\ b,\ c,\ d,\ e$ and $f$ are making a design in a bridge as shown in Fig., in which a $\parallel b,\ c \parallel d,\ e \parallel \ f$. Find the marked angles between $b$ and $c$

Asked in: Mathematics - Lines and Angles

1 Verified Answer | Published on 09th 09, 2020