Answer
455.7k+ views
Hint- This question can be solved by knowing the concept that the sum of the adjacent angles of parallelogram is ${180^ \circ }$.
Given that the adjacent angles of a parallelogram are in the ratio of $1:2$.
Let the adjacent angles be $x$ and $2x$.
We know that the sum of the adjacent angles of the parallelogram is ${180^ \circ }$ .
$ \Rightarrow x + 2x = {180^ \circ }$
Or $3x = {180^ \circ }$
Or $x = \dfrac{{{{180}^ \circ }}}{3}$
Or $x = {60^ \circ }$
Therefore, adjacent angles are
$
x = {60^ \circ } \\
2x = 2 \times x \\
2x= 2 \times {60^ \circ } \\
2x= {120^ \circ } \\
$
Now we have to find the measure of the smallest angle, which is ${60^ \circ }$ .
Therefore, the smallest angle is ${60^ \circ }$ .
Note-Whenever we face such types of questions the key concept is that we should know the basic things like the sum of adjacent angles of a parallelogram is ${180^ \circ }$. Like in this question we use the same concept and thus we get our desired answer.
Given that the adjacent angles of a parallelogram are in the ratio of $1:2$.
Let the adjacent angles be $x$ and $2x$.
We know that the sum of the adjacent angles of the parallelogram is ${180^ \circ }$ .
$ \Rightarrow x + 2x = {180^ \circ }$
Or $3x = {180^ \circ }$
Or $x = \dfrac{{{{180}^ \circ }}}{3}$
Or $x = {60^ \circ }$
Therefore, adjacent angles are
$
x = {60^ \circ } \\
2x = 2 \times x \\
2x= 2 \times {60^ \circ } \\
2x= {120^ \circ } \\
$
Now we have to find the measure of the smallest angle, which is ${60^ \circ }$ .
Therefore, the smallest angle is ${60^ \circ }$ .
Note-Whenever we face such types of questions the key concept is that we should know the basic things like the sum of adjacent angles of a parallelogram is ${180^ \circ }$. Like in this question we use the same concept and thus we get our desired answer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)