Question

Three angles of a quadrilateral are in the ratio 4:6:3.if the fourth angle is 100 degree .Find the three angles of the quadrilateral​

Answer 1

Step-by-step explanation:

SUM OF ALL THE ANGLES OF A QUADRILATERAL IS 360 DEGRESS

If the fourth angle is 100 degrees the angle remains will be equal to 360 - 100 = 260 degrees,

THE OTHER THREE ANGLES ARE AT THE RATIO 4 : 6 : 3,

Which means its value will be 4x , 6x , 3x.

4x + 6x + 3x = 260

13X = 260

AND HENCE X = 20 DEGREES

SO THE ANGLES OF THE QUADRILATERAL RESPECTIVELY BE 80 , 120 , 60 , 100.

Answer 2

Step-by-step explanation:

Let the ratios of three angles of a quadrilateral are 4x : 6x : 3x and fourth angle is given 100° .

We know that Sum of the four angles of any quadrilateral is 360° .

So , 4x+6x+3x + 100° = 360°

13x + 100° = 360°

13x = 260°

x = 20°

The angles will be 80° , 120° , 60° & fourth is already given 100° .