Question

in a quadrilateral ABCD the angles A, B, C and D are in the ratio 2:3:3:4 . Find the angles of a quadrilateral

Answer 1

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In a quadrilateral ABCD the angles a b c and d are in ratio 2:3:3:4 .

Let The ratio in" X" .

so, it will be ,

2x,3x,3x,4x

The sum of all angles of a quadrilateral is 360° .

now according to the question given,

$2x + 3x + 3x + 4x = 360$

$12x = 360$

$x = \frac{360}{12}$

$x = 30$

Then all The Angles are ,

$2x = 2 \times 30 = 60$

$3x = 3 \times 30 = 90$

$3x = 3 \times 30 = 90$

$4x = 4 \times 30 = 120$

So, all angles are 60 degree ,90 degree, 90 degree ,120 degree .

Answer 2

Hope this answer can help u