Mathematics
In cyclic quadrilateral ABCD, ∠A = 3∠C and ∠D = 5∠B. Find the measure of each angle of the quadrilateral.
Related Questions
O is centre of the circle, PB and PC are tangents and ∠BPC = 50°.

Statement (1): ∠BAC = ∠P = 50°
Statement (2): ∠BOC + 50° = 180°
⇒ ∠BOC = 130°
∴ ∠BAC = 65°
Both the statement are true.
Both the statement are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
In the given figure, C and D are points on the semi-circle described on AB as diameter.
Given angle BAD = 70° and angle DBC = 30°, calculate angle BDC.

Show that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.