Question

The three angle of a quadrilateral are in the ratio 4 ratio 6 ratio 3 ratio if the fourth angle is hundred degree find the other three angle of the quadrilateral

Answer 1

$\purple{Let \: the \: ratio \: be \: 4x \: 6x \: 3x}$

$\orange{Sum \: of \: angles \: of \: triangle = {360}^{0}}$

$\red{4x + 6x + 3x + {100}^{0} = {360}^{0}}$

$\red{13x = {360}^{0} - {100}^{0}}$

$\red{13x = {260}^{0}}$

$\red{x = \frac{260}{13}}$

$\red{x = {20}^{0} }$

$\blue{The \: other \: 3 \: angles \: are-}$

$\green{4x = 4 \times 20 = {80}^{0}}$

$\green{6x = 6 \times 20 = {120}^{0}}$

$\green{3x = 3 \times 20 = {60}^{0} }$

The 3 angles of Quadrilateral=80°, 120°&60°

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