Question

Find the value of x if ABCD is a cyclic quadrilateral if angle1 : angle2 = 3:6​

Answer 1

Answer:

Since ABCD is a cyclic quadrilateral, Sum of either pair of opposite angles of cyclic quadrilateral is 180°

⇒ ∠1 + ∠2 = 180°

⇒ 3k + 6k = 180° ⇒ k = 20°

Now, x = ∠1 [Exterior angle formed when one side of cyclic quadrilateral is produced is equal to the interior opposite angle]

⇒ x = 3k ⇒ x = 60°.