If the measures of internal angles of a quadrilateral are in the ratio of $3 : 6 : 4 : 5$ . what are the measures of its angle?

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Solution

Sum of internal Angles of a Quadrilateral $= 360^{o}$

Let the Angles be $3 x, 6 x, 4 x, 5 x$

Hence, $3 x + 6 x + 4 x + 5 x = 360^{o} \Rightarrow 18 x = 360^{o} \Rightarrow x = 20^{o}$

So, the Angles are
$3 x = 60^{o} 6 x = 120^{o} 4 x = 80^{o} 5 x = 100^{o}$

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If the measures of internal angles of a quadrilateral are in the ratio of 3:6:4:5. what are the measures of its angle?

Sum of internal Angles of a Quadrilateral =360oLet the Angles be 3x,6x,4x,5xHence, 3x+6x+4x+5x=360o⇒18x=360o⇒x=20oSo, the Angles are3x=60o6x=120o4x=80o5x=100o

If the measures of internal angles of a quadrilateral are in the ratio of $3 : 6 : 4 : 5$ . what are the measures of its angle?

Sum of internal Angles of a Quadrilateral $= 360^{o}$

Let the Angles be $3 x, 6 x, 4 x, 5 x$

Hence, $3 x + 6 x + 4 x + 5 x = 360^{o} \Rightarrow 18 x = 360^{o} \Rightarrow x = 20^{o}$

So, the Angles are
$3 x = 60^{o} 6 x = 120^{o} 4 x = 80^{o} 5 x = 100^{o}$