Question

the angle of quadilator are in the ratio 3 is to 4 is to 6 is to 7 find all its angle​

Answer 1

Answer:

54,72,108,126

Step-by-step explanation:

RATIO OF THE ANGLES= 3:4:6:7

SUM OF THE RATIO. = 20

SUM OF THE 4 ANGLES = 360° (ANGLE SUM PROPERTY)

FIRST ANGLE. = 3/20 ×360°= 54°

2ND ANGLE =4/20 × 360°= 72°

3RD ANGLE. = 6/20 × 360°= 108°

4TH ANGLE. = 7/20 × 360°= 126°

Answer 2

Solution;

Given the ratio of angles of quadrilateral, ABCD is 3:4:5:6.

Let the angles of quadrilateral ABCD be 3x,4x,5x,6x, respectively.

We know, by angle sum property, the sum of angles of a quadrilateral is 360 degree

= 3x + 4x + 5x + 6x = 360 degree

= 18x = 360 degree

Therefore, x = 20 degree

∠A=3x

     =3×2

     =60 degree

∠B=4x

    =4×20

    =80 degree

∠C=5x

    =5×20

   =100 degree

∠D=6x

    =6×20

    =120 degree

The largest angle is equal to 120 degrees. Hence, option B is correct.