ABCD is a quadrilateral with b=65° and d=105°. if a and c are in the ratio 3:7, find the value of x and y.
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Answer:
given , b = 65° , d =105°
and a and c are in ratio 3:7
let us take a =3x and c=7x
sun of the all angles in quadrilateral is 360°
a + b + c + d = 360°
3x + 65°+ 7x+ 105° = 360°
10x + 170° = 360°
10x = 360° - 170°
10x = 190°
x = 190°/ 10
x = 19°
Now , a = 3x = 3 × 19 = 57°
and. c = 7x = 7 × 19 = 133°
=> a = 57°. and. c = 133°
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Answered by
0
Answer:
given , b = 65° , d =105°
and a and c are in ratio 3:7
let us take a =3x and c=7x
sun of the all angles in quadrilateral is 360°
a + b + c + d = 360°
3x + 65°+ 7x+ 105° = 360°
10x + 170° = 360°
10x = 360° - 170°
10x = 190°
x = 190°/ 10
x = 19°
Now , a = 3x = 3 × 19 = 57°
and. c = 7x = 7 × 19 = 133°
=> a = 57°. and. c = 133°
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