## Find tha smallest angle of quadrilateral angle are in ratio 2:3:4:6

Question

Find tha smallest angle of quadrilateral angle are in ratio 2:3:4:6

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1 month 2021-08-17T08:11:36+00:00 2 Answers 0 views 0

## Answers ( )

1. Answer:

48

Step-by-step explanation:

Let the angles be = 2x , 3x , 4x and 6x

Sum of all angles of quadrilateral = 360

==: 2x + 3x + 4x + 6x = 360

==: 15x = 360

==: x = 24

Angles = 48 , 73 , 96 and 144

Smallest angle = 48

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2. ## SOLUTION:-

Given

▪︎ Ratio of angles 2:3:4:6

To find

▪︎ Smallest angle

Explanation

We know that,

Sum of all angles of a Quadrilateral is 360

Let Quadrilateral be ABCD

So, angles are A,B,C,D

According to question

A:B:C:D= 2:3:4:6

Let angles be

A= 2x

B= 3x

C= 4x

D= 6x

Now

Sum of all angles of a quadrilateral =360

A+B+C+D= 360

2x+3x+4x+6x=360

15x=360

x= 360/15

x= 24°

Now, Angles are ⤵️⤵️

A=2x= 2×24= 48°

B= 3x= 3×24= 72°

C= 4x= 4×24= 96°

D= 6x= 6×24= 144°

So , Smallest angle is A= 48°

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