Question

4. The angles of a quadrilateral are in the following ratios. Find the measure of
each angle.
a) 1:3:5:6
b) 3:4:5:6​

Answer 1

Answer:

(A) Let the angles of the quadrilateral be x,3x,5x,6x

sum of all the angles of a quadrilateral is 360degree

360=x+3x+5x+6x

360==15x

x=360/15

x=24

therefore angles are x=24degree

3x=72degree

5x=120degree

6x=144degree

Step-by-step explanation:

(2) similarily,3x+4x+5x+6x=360

18x=360

x=360/18

x=20

therefore, angles are 60 degree, 80 degree, 100 degree, 120 degree