The interior angles of a quadrilateral are in the ratio $3 : 5 : 6 : 4.$ Find the angles.

Open in App

Solution

Let the angles of the quadrilateral be $3 x, 5 x, 6 x$ and $4 x .$

As we know that the sum of interior angles of a quadrilateral is $360^{\circ}$ .
$3 x + 5 x + 6 x + 4 x = 360^{\circ}$
$\Rightarrow 18 x = 360^{\circ}$
$\Rightarrow x = 20^{\circ}$

Hence, the angles are $60^{\circ},$ $100^{\circ},$ $120^{\circ},$ and $80^{\circ}$ , respectively.

Suggest Corrections

Similar questions

3 : 5 : 9 : 13

The measures of interior angles of a quadrilateral are in the ratio 3:4:5:6. The measure of the largest angle is

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6, find the smallest angle.

Join BYJU'S Learning Program