Practice30Create account

A, B, C and D lie on a circle and the diagonals AC and BD of quadrilateral ABCD meet at E. If ∠ADB = 35° and ∠BDC = 40°, find ∠ABC.

Competition practiceGeometry
  • A105°
  • B75°
  • C110°
  • D95°

Step-by-Step Solution

∠ADC = 35° + 40° = 75°. Opposite angles of a cyclic quadrilateral are supplementary, so ∠ABC = .
Answer: A) 105°

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Geometry practice questions

More Geometry practice

AB and CD are equal chords of a circle with centre O. If ∠AOB = 72°, find ∠OCD.A chord subtends a right angle at the centre of a circle of radius 5√2 cm. How long is…Two parallel chords of lengths 48 cm and 14 cm lie on the same side of the centre of a…A and B are points on a circle with centre O, and ∠OAB = 28°. C is a point on the minor…PQRS is a cyclic quadrilateral with ∠P = (x + 20)°, ∠Q = (2x − 10)° and ∠R = (3x − 20)°.…