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
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
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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