Quadrilateral || Shashaank Blogspot

The angles of a quadrilateral are in the ratio $2 : 3 : 5 : 8$ . Find the smallest angle of the quadrilateral?

Given ratio of angles of quadrilateral $A B C D$ is $2 : 3 : 5 : 8$
Let the angles of quadrilateral $A B C D$ be $2 x, 3 x, 5 x, 8 x$ , respectively.
We know, by angle sum property, the sum of angles of a quadrilateral is $36 0^{o}$ .
$\Rightarrow 2 x + 3 x + 5 x + 8 x = 36 0^{o}$
$\Rightarrow 18 x = 36 0^{o}$
$∴ x = 2 0^{o}$ .
$∴ ∠ A = 2 x = 2 \times 2 0^{o} = 4 0^{o}$ ,
$∠ B = 3 x = 3 \times 2 0^{o} = 6 0^{o}$ ,
$∠ C = 5 x = 5 \times 2 0^{o} = 10 0^{o}$
and $∠ D = 8 x = 8 \times 2 0^{o} = 16 0^{o}$ .
$∴$ The smallest angle $= 40$

Comments

MY FIRST HTML CODE COVID 19 || Shashaank Blogspot

Lamborghini Cartoon

Data Handling || Shashaank Blogspot

Data Handling · Data and its Frequency Distribution · Pictographs · Bar Graphs · Histogram and Pie-Charts · Chance and Probability · Arithmetic Mean · Median and Mode FAQs on Data Handling Question 1: What is meant by data? Answer: Data refers to distinct pieces of information. Usually, the formatting of such information takes place in a special way. People also use the word data in reference to computer information. Strictly speaking, data happens to be the plural of the word datum, a single piece of information. Question 2: What are the various types of data? Answer: A the highest level, the two types...

EnergeticTech

Search This Blog

Quadrilateral || Shashaank Blogspot

The angles of a quadrilateral are in the ratio $2 : 3 : 5 : 8$ . Find the smallest angle of the quadrilateral?

Labels

Comments

Popular posts from this blog

MY FIRST HTML CODE COVID 19 || Shashaank Blogspot

Lamborghini Cartoon

Data Handling || Shashaank Blogspot

EnergeticTech

Quadrilateral || Shashaank Blogspot

The angles of a quadrilateral are in the ratio 2:3:5:8. Find the smallest angle of the quadrilateral?

Labels

Comments

Popular posts from this blog

MY FIRST HTML CODE COVID 19 || Shashaank Blogspot

Lamborghini Cartoon

Data Handling || Shashaank Blogspot

The angles of a quadrilateral are in the ratio $2 : 3 : 5 : 8$ . Find the smallest angle of the quadrilateral?