Question

the four angle of a quadrilateral are in ratio of 4:5:6:9 find measure of all angles​

Answer 1

Answer:

Let the angles be 4x,5x,6x and 9x

then

$4x + 5x + 6x + 9x = 360 \\ 24x = 360 \\ x = 360 \div 24 \\ = 15$

so ,4x=60

5x=75

6x=135

9x=

Answer 2

Answer:

we know that sum of all angle of quadrilateral is 360 °

let the angle in ratio is 4x, 5x, 6x, 9x

4x + 5x + 6x + 9x = 360 °

24x = 360 °

x = 360 ° / 24

x = 15 °

1 angle = 4x

4 x 15 = 60°

2 angle = 5x = 5 x 15 = 75°

3 angle = 6x = 6x 15 = 90°

4 angle = 9x = 9 x 15 = 135°

I hope this answer is helpfull to you