Question

the angles of a quadrilateral are in the ratio 2:4:5:7. find all the angles

Answer 1

Hey !!
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Let the angles be 2x ,4x, 5x,7x
Then
As we know that sum of angles of quadrilateral =360°
2x+4x+5x+7x=360
18x=360
x=20°
so the angles are
2x= 2×20=40°
4x=80°
5x=100°
7x=140°

Check !!
40+80+100+140= 360°
Congrats the answer is correct
Hehe !!

Answer 2

let <a =2x
<b =4x
<c=5x
<d =7x

we know that, sum of all angles in a quadrilateral is 360.
so,
a +b+c+d = 360
2x + 4x + 5x +7x =360
18x = 360
x = 360/18
x = 20
hence, <a = 2 × 20 = 40
<b = 4× 20 = 80
<c = 5× 20 = 100
<d = 7 × 20 = 140

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