Question

The angles of a quadrilateral are in the ratio 8 : 9 : 10 : 9 . Find the measure of each of its angles.​

Answer 1

Step-by-step explanation:

Let the angles be 8x,9x,10x,9x

Now, 8x+9x+10x+9x=360 (because sum of angles of a quadrilateral is 360)

36x=360

x=10

ALL ANGLES=80,90,100,90

Answer 2

Answer:

Sum of angles of quadrilateral = 360°

8x + 10x + 9x + 9x = 360

36x = 360

x = 10

Angle 1 = 8x = 80°

Angle 2 = 9x = 90°

Angle 3 = 10x = 100°

Angle 4 = 9x = 90°

Check :

Sum = 360°

80+90+90+100

= 360

Hence answer is right.