Question

the four angles of a quadrilateral are x, 3 x, 2 X + 9 and 4 x + 11 find the measures of angle of the quadrilateral​

Answer 1

Step-by-step explanation:

Sum of all angles of quadrilateral is 360°.

Answer 2

Answer:

let first angle be x

let second angle be 3x

let third angle be 2x+9

let 4th angle be 4x+11

we know that sum of all angles of a quadrilateral is 360°

$x + 3x + 2x + 9 + 4x + 11 = 360 \\ 10x + 20 = 360 \\ 10x = 360 - 20 = 340 \\ x = \frac{340}{10} \\ x = 34°$

so 1st angle=34°

2nd angle =3×34=102°

3rd angle=2×34+9=77°

4th angle=4×34+11=147°

verification

34°+102°+77°+147°=360°

hope it helps you and if helps pls mark me as brainleist