Question

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

Answer 1

Answer:

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Answer 2

Answer:

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