Ratio of Consecutive angles of a quadrilateral

is 3 : 4:5:6. Find the measure of its each

angle. Write, with reason what type of a

quadrilateral it is.

ratio is 3:4:5:6

let the angles be x. so,

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

(all angles of a quadrilateral sum up to 360 degrees)

18x = 360 degrees

x = 360/18 = 20 degrees

therefore, the angles are:

3x = 3*20 = 60 degrees

4x = 4*20 = 80 degrees

5x = 5*20 = 100 degrees

6x = 6*20 = 120 degrees