Question

If the angles of a quadrilateral PQRS are in the ratio 3:8:9:16, then find the angles.​

Answer 1

Answer:

Step-by-step explanation:

Now we know the sum of the angles of a quadrilateral sum upto 360

3x + 8x + 9x + 16x = 360

36x = 360

x = 360/36 ⇒10

∵x=10

Angles of the quadrilateral:

3x = 3(10) = 30

8x = 8(10) = 80

9x = 9(10) = 90

16x = 16(10) = 160

Answer 2

The sum of angles of a quadrilateral= 360°

Let the four angles be 3x, 8x, 9x, 16x

Therefore,

3x+8x+9x+16x= 360°

36x=360°

x=360°/36

x=10°

Hence the angles are

3x=3*10=30°

8x=8*10=80°

9x=9*10=90°

16x=16*10=160°