Question

hello brainlians!!
Question is in the attachment.​

Answer 1

Answer:

hence the value of x is 3..

Answer 2

Class 9 .. yah !

Solution

Given :

• Raito

☞︎︎︎ 3 : 5 : 9 : 13

We know,

$\\ \large \sf \underline{ \underline{ \star \: \: angle \: \: sum \: \: property : }}$

Sum of all angles of Quadrilateral = 360°

$\\ \large \rm \underline{ \underline{ \star \: solving : }}$

Let the common ratio be = x

Now,

$\\ \large \tt \implies \: 3x + 5x + 9x + 13x = 360 \degree \\ \\ \large \tt \implies \: 30x = 360 \degree \\ \\ \large \tt \implies \: x = \frac{360 \degree}{30} \\ \\ \large \boxed{ \tt \therefore \: \: x = 12 \degree }$

So, Angles are -

$\\ \large \mapsto \rm \: 3x = 3 \times 12 \degree = 36 \degree \\ \\ \large \mapsto \rm \: 5x = 5 \times 12\degree = 60\degree \\ \\ \large \mapsto \rm \: 9x = 9\times 12 \degree = 108 \degree \\ \\ \large \mapsto \rm \: 13x = 13 \times 12 \degree = 156 \degree$