the angles of a quadrilateral are in the ratio 1:2:4:5 find the angles
Answers
Answered by
3
HEYA!!
SUM OF ANGLES OF QUAD = 360
LET ANGLE BE
X,2X,3X,4X
ADD THRM
10X= 360
X= 36
SO, 1 ANGLE = 36
2ND = 72
3RD = 108
4TH = 144
HOPE IT HELPS U MATE
SUM OF ANGLES OF QUAD = 360
LET ANGLE BE
X,2X,3X,4X
ADD THRM
10X= 360
X= 36
SO, 1 ANGLE = 36
2ND = 72
3RD = 108
4TH = 144
HOPE IT HELPS U MATE
Answered by
1
WE KNOW THAT SUM OF ANGLE OF QUADRILATERAL =360°
IF YOU DONT KNOW THEN YOU CAN FIND OUT BY THE FORMULA OF THIS
IN WHICH n MEANS SIDE
(n-2)180
SO QUADRILATERAL HAS 4 SIDES
THEREFORE, WE PUT THE VALUE OF n AS 4
(4-2)180
2×280
360°
LET THE RATIO OF QUADRILATERAL BE '1x' , '2x' , '3x' , '4x'
A/Q. 1x +2x +3x +4x =360
10x =360
x = 360/10
x =36°
1x = 1×36 =36°
2x =2×36=72°
3x =3×36=108°
4x =4×36 =144°
HENCE, THE ANGLE ARE -: 36° , 72° , 108° , 144°
IF YOU DONT KNOW THEN YOU CAN FIND OUT BY THE FORMULA OF THIS
IN WHICH n MEANS SIDE
(n-2)180
SO QUADRILATERAL HAS 4 SIDES
THEREFORE, WE PUT THE VALUE OF n AS 4
(4-2)180
2×280
360°
LET THE RATIO OF QUADRILATERAL BE '1x' , '2x' , '3x' , '4x'
A/Q. 1x +2x +3x +4x =360
10x =360
x = 360/10
x =36°
1x = 1×36 =36°
2x =2×36=72°
3x =3×36=108°
4x =4×36 =144°
HENCE, THE ANGLE ARE -: 36° , 72° , 108° , 144°
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