Question

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

Answer 1

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 the angles of a quadrilateral is 360°

$⇒a+b+c+d+=360°$

$⇒3x+5x+9x+13x=360°$

$⇒30x=360°$

$⇒x=\frac{360°}{30}$

$⇒\boxed{x=12°}$

Hence,

the angles are

$a⇒3x=3×12°=36°$

$b⇒5x=5×12°=60°$

$\boxed{c⇒9x=9×12°=108°}$

[tex]d⇒13x=13×12°=156°[tex]

Hope it helps!

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