The angles of quadrilateral are in the ratio 3 : 5:9:13. Find all the angles of the
quadrilateral.
Answers
Answered by
1
Answer:
x = 12 angles are 36,60,108,156 these are the four answer if you like my on like and mein marquess billion
Answered by
0
AnSwer -:
_______________________________
LA = 36 degree
LB = 60 degree
LC = 96 degree
LD = 156 degree
_______________________________
_______________________________
Given ,
The angles of quadrilateral are given in
ratio -: 3:5:9:13
To find,
All angles of the quadrilateral
_______________________________
Let the four angles of the sides are -:
3x , 5x , 9x and 13 x
We know that ,
Sum of angles of the quadrilateral-:
360 degree
LA + LB + LC + LD = 360 degree
LA = 3x
LB = 5x
LC = 9x
L D = 13 x
3x + 5x + 9x + 13 x = 360 degree
8 x + 22x = 360 degree
30 x = 360 degree
X = 360/30
X = 12
L A = 3x = 3 x 12 = 36 degree
LB = 5x = 5 x 12 = 60 degree
LC = 8x = 8 x 12 = 96 degree
LD = 13 x = 13 x 12 = 156 degree
_______________________________
LA = 36 degree
LB = 60 degree
LC = 96 degree
LD = 156 degree
_______________________________
Quadrilateral-:
A quadrilateral is a plane figure that has
four sides or edges, and also have four
corners or vertices.
Example-: Square, Rectangle etc.
_______________________________
_______________________________
LA = 36 degree
LB = 60 degree
LC = 96 degree
LD = 156 degree
_______________________________
_______________________________
Given ,
The angles of quadrilateral are given in
ratio -: 3:5:9:13
To find,
All angles of the quadrilateral
_______________________________
Let the four angles of the sides are -:
3x , 5x , 9x and 13 x
We know that ,
Sum of angles of the quadrilateral-:
360 degree
LA + LB + LC + LD = 360 degree
LA = 3x
LB = 5x
LC = 9x
L D = 13 x
3x + 5x + 9x + 13 x = 360 degree
8 x + 22x = 360 degree
30 x = 360 degree
X = 360/30
X = 12
L A = 3x = 3 x 12 = 36 degree
LB = 5x = 5 x 12 = 60 degree
LC = 8x = 8 x 12 = 96 degree
LD = 13 x = 13 x 12 = 156 degree
_______________________________
LA = 36 degree
LB = 60 degree
LC = 96 degree
LD = 156 degree
_______________________________
Quadrilateral-:
A quadrilateral is a plane figure that has
four sides or edges, and also have four
corners or vertices.
Example-: Square, Rectangle etc.
_______________________________
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