Question

In the given figure, ZBAD = 75°, ZDCF = x° and ZDEF = y". Find the values of x and y.​

Answer 1

Step-by-step explanation:

In a cyclic quadrilateral we know that the exterior angle is equal to the interior opposite angle So we get ∠BAD = ∠DCF = 75o It can be written as ∠DCF = x = 75o We get x = 75o We know that the opposite angles of a cyclic quadrilateral is 180o So we get ∠DCF + ∠DEF = 180o By substituting the values 75o + ∠DEF = 180o On further calculation ∠DEF = 180o – 75o By subtraction ∠DEF = y = 105o Therefore, the values of x and y is 75o and 105o.Read more on Sarthaks.com - https://www.sarthaks.com/728098/in-the-given-figure-bad-75-dcf-xand-def-y-find-the-values-of-x-and-y