Question

The angles of quadrilateral are in the ratio 3:2:4:6. find all the angles of quadrilateral ​

Answer 1

We just find the value of x by applying the ratio in form of x and angle sum property of a quadrilateral

Answer 2

Answer:

72°, 48°, 96°, 144°

Step-by-step explanation:

let the angles be 3x, 2x, 4x & 6x

$\implies$ $\sf{3x+2x+4x+6x = 360° }$

$\implies$ $\sf{ 15x = 360}$

$\implies$ $\sf{x={\Large\frac{360 }{15 }} }$

$\therefore$ $\sf{ x = 24°}$

Substitute x :

$\implies$ $\sf{ 4x}$

$\implies$ $\sf{4(24) }$

$\therefore$ $\sf{96° }$

$\implies$ $\sf{ 3x}$

$\implies$ $\sf{3(24) }$

$\therefore$ $\sf{72° }$

$\implies$ $\sf{2x }$

$\implies$ $\sf{2(24) }$

$\therefore$ $\sf{48° }$

$\implies$ $\sf{ 6x}$

$\implies$ $\sf{ 6(24)}$

$\therefore$ $\sf{ 144°}$

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