Math, asked by muddy9106, 11 months ago

three angles of quadrilateral are in ratio 1 ratio 2 ratio 3 the sum of the least and the greatest of these angles is equal to 180 degree find all the angles of the quadrilateral


Answers

Answered by sakshi19206
2

Answer:

A/Q

Step-by-step explanation:

Let the ratio be x

1=x

2=2x

3=3x

X+2x+3x+180=360

6x=360-180

6x=180

X=180/6

X=30

2x=2*30=60

3x=3*30=90

Answered by Anonymous
3

Answer:

First angle = 30.

Second angle = 60.

Third angle = 90.

To find :

All angles of the Quadrilateral.

Solution:

Given,

Let the common ratio = x , 2x , 3x.

x + 2x + 3x + 180 = 360.

6x = 360 - 180

6x = 180

x = 180 / 6

x = 30.

Therefore ,

First angle = x

= 30.

Second angle = 2x

= 2 ( 30 )

= 60.

Third angle = 3x

= 3 ( 30 )

= 90.

Verification :

=30 + 60 + 90

=180.

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