Question

In given figure angel BAD =75°,angel DCF=x° and angel DEF =y°. Find the value of x and y.​

Answer 1

Explanation:

In a cyclic quadrilateral we know that the exterior angle is equal to the interior opposite angle So we get,

∠BAD = ∠DCF = 75°

It can be written as

∠DCF = x = 75°

We get x = 75°

We know that the opposite angles of a cyclic quadrilateral is 180°

So we get

∠DCF + ∠DEF = 180°

By substituting the values

75° + ∠DEF = 180°

On further calculation ∠DEF = 180° – 75°

By subtraction

∠DEF = y = 105°

Therefore, the values of x and y is 75°and 105°