If the measures of the angles of a quadrilateral taken in order are in the ratio 1 : 3 : 1 : 3, then the quadrilateral is a:

Correct option is C

Given:

The angles of a quadrilateral are in the ratio 1 : 3 : 1 : 3

Formula Used:

Sum of angles = 360$$^\circ$$ 

Solution:

Let the angles of the quadrilateral be x, 3x, x, 3x, 

The sum of the angles is: x + 3x + x + 3x = 360^∘

8x = 360$$^\circ$$​​

x = 45$$^\circ$$​​

x = 45$$^\circ$$,3x = 135$$^\circ$$,x = 45$$^\circ$$,3x = 135$$^\circ$$ 

So, This is parallelogram .

Because (45 + 135 = 180 sum of adjacent angle)

Thus Option (c) is correct