The ratio of three consecutive angles in a cyclic quadrilateral is $2: 3: 4$. find the largest angle of the quadrilateral, in degrees.

The largest angle of the quadrilateral is 120°.

Step-by-step explanation:

Given : The ratio of three consecutive angles in a cyclic quadrilateral is 2:3:4

To find : The largest angle of the quadrilateral, in degrees ?

Solution :

Let the ration be 'x',

So, The consecutive angles are 2x , 3x  and 4x.

We know that, Opposite angles of cyclic quadrilateral is 180°.

i.e.

The angles became,

We know that sum of all angles of quadrilateral is 360°,

Let the fourth angle be A,

Therefore, Among all the angles the largest angle of the quadrilateral is 120°.

answer: 40.95

step-by-step explanation: