Question

If ratio of <A:<B:<C:<D = 3:5:9:13 find the value of c​

Answer 1

Answer:

C=108°

Step-by-step explanation:

C=9x=9×12=108°

angle C = 108°

Answer 2

Answer:

$c=108°$

Step-by-step explanation:

Let angles in the ratio  $3:5:9:13$ be $a, b ,c &,d$

Let $a=3x,b=5x,c=9x,d=13x$

We know that ,

Sum of angles of a quadrilateral is 360°

$a+ b+ c+ d=360°$

$3x+5x+9x+13x=360°$

$8x+9x+13x=360°$

$17x+13X=360°$

$30x=360°$

$x=\frac{360°}{30}$

$\boxed{x=12°}$

Hence,

the angles are

$a⇒3x=3×12°=36°$

$b⇒5x=5×12°=60°$

$\boxed{c⇒9x=9×12°=108°}$

$d⇒13x=13×12°=156°$

Hope it helps!

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