Question

the angles of a quadrilateral in the ratio 1:2:3:4 .find the smallest and the largest angle

Answer 1

Let the angles of quadrilateral be

x, 2x, 3x , 4x

sum of all angles of quadrilateral = 360°

x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10 = 36°

Ans. the four angles are :-

x = 36°
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°
4x = 4 × 36 = 144°

Answer 2

let angles of queadrilateral be X, 2x, 3x, 4x
X + 2x + 3x + 4x = 360° (sum of all angles of quadrilateral)
10x = 360°
X = 360°/10
X = 36°(smallest angle)
hence, 4x = 4 X 36 = 144° (largest angle)
2x = 2 X 36 = 72°
3x = 3 X 36 = 108°
HOPE IT'S HELP YOU
SHANAYA ⭐