Question

If angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13. Find the largest angle

Answer 1

Answer:

let. the first angle be 3x

second be 5x

third be 9x

fourth be 13x

A.T.Q.

3x+5x+9x+13x=360°

30x=360°

x=360°÷30

x=12

so, first angle be 3x=3*12=36°

second =5x=5*12=60°

third =9x=9*12=108°

fourth=13x=13*12=108°

the fourth angle largest angle of 108°

Mark me brainliest plzzzzzz

Answer 2

Answer:

Let the common multiple be x

• angle 1 = 3x
• angle 2 = 5x
• angle 3 = 9x
• angle 4 = 13x

Angle sum property of quadrilateral

3x + 5x + 9x + 13x = 360

30x = 360

x = 360/30

x = 12

greater angle is angle 4

i.e. 13x

13x = 13 × 12 = 152