Question

the four angles of a quadilateral are in the ratio 3:4:6 :7.find the angles

Answer 1

Answer:

let the ratio be x

Then the angles will be 3x,4x, 6x,7x

Sum of all angles in qudirateral is 360

3 x + 4 x+ 6 x + 7 x = 360

20 x = 360

X=360/20

X=18

3 x=  54

4 x = 72

6 x= 108

7x= 126

Answer 2

Hey!!


Let angeA = 3x

angleB = 4x

angleC = 6x

angleD = 7x


A / q

We know that the Sum of all angles of a quadrilateral is 360°


=> angleA + angleB angleC + angleD = 360°

=> 3x + 4x + 6x + 7x = 360°

=> 20x = 360°

=> x = 360 / 20

=> x = 18°

angleA = 3x = 3 × 18° = 54°

angleB = 4x = 4 × 18° = 72°

angleC = 6x = 6 × 18° = 108°

angleD = 7x = 7 × 18° = 126°


Therefore the angles of a quadrilateral are 54°, 72°, 108°, and 126°.



Hope it helps!