Question

1. The measures of the angles of a quadrilateral are in the ratio 2 : 4:5 : 7. Find the
measure of each of its angles.
​

Answer 1

Answer:

40,80,100,140

Step-by-step explanation:

Angle A = 2x

angle B = 4x

angle C = 5x

angle D = 7x

2x +4x+5x+7x = 360°

18x =360°

X =20°

a = 40

B= 80

c = 100

D=140

Answer 2

Step-by-step explanation:

let the angle be x, So,

2:4:5:7 = 360° ---------( Sum of all angles in quadrilateral is 360°)

$2x + 4x + 5x + 7x = 360° \\ 18x = 360° \\ x = \frac{360}{18} \\ x = 20° \\ \\ 2x = 2 \times 20 = 40° \\ 4x = 4 \times 20 = 80° \\ 5x = 5 \times 20 = 100° \\ 7x = 7 \times 20 = 140°$

So, the angles of the quadrilateral are 40°, 80°, 100°, 140°.