# The angles of a quadrilateral are in the ratio: 3:5:4:3 find the angles

The angles of a quadrilateral are in the ratio given as 3:5:4:3

So Let the angles be 3x, 5x, 4x & 3x

and the sum of all angles of a quadrilateral=360 degree

So

3x + 5x + 4x + 3x = 360
15x = 360
x = 360/15 = 24 degree

$\begin{array}{l} \text { 1st angle }=(3 \times 24)=72^{\circ} \\ \text { 2nd angle }=(5 \times 24)=120^{\circ} \\ \text { 3rd angle }=(4 \times 24)=96^{\circ} \\ \text { 4th angle }=(3 \times 24)=72^{\circ} \end{array}$

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