Question

If the angles of a quadrilateral are in the ratio of 4:3:4:7 find the largest angle of the quadrilateral

Answer 1

Hey mate.
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Given,

The angles of a quadrilateral are in the ratio of 4:3:4:7

Let, the angles be x

So, the angles of a quadrilateral are :--

4x, 3x, 4x and 7x

We know,

Sum of all the angles of a quadrilateral are 360°

Therefore,

=> 4x + 3x + 4x + 7x = 360°

=> 18x = 360°

=>
$x = \frac{360}{18}$
=> x = 20°

Therefore,

The angles are :- ( 4 * 20) = 80°, ( 3 * 20) = 60°, ( 4 * 20) = 80° and ( 7 * 20) = 140°

Hope it helps