Practice30Create account

Chords AB and CD of a circle intersect at E inside the circle. The arc AC that faces ∠AEC measures 64° and the opposite arc BD measures 100°. Find ∠AEC.

Competition practiceGeometry
  • A82°
  • B64°
  • C18°
  • D98°

Step-by-Step Solution

An angle formed by two chords inside a circle is half the sum of the intercepted arcs: .
Answer: A) 82°

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

Two secants PAB and PCD meet at a point P outside a circle. The far arc BD measures 130°…ABCD is a cyclic quadrilateral with AB ∥ DC and ∠DAB = 70°. Find ∠ABC.AB is a diameter of a circle with centre O, and C is a point on the circle with ∠BOC =…Through how many circles can three non-collinear points all pass?C is a point on a circle with centre O, and ∠ACB = 48°, where A and B also lie on the…