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[" 69.quadrilateral."],[" Let the vertex...

[" 69.quadrilateral."],[" Let the vertex of an angle "ABC" be located outside a circle and let the "],[" sides of the angle intersect equal chords "AD" and "CE" with the circle."],[" Prove that "/_ABC" is equal to half the difference of the angles subtended "],[" by the chords "AC" and "DE" at the centre."],[/_ABC=(1)/(2)[/_DOE-/_AOC]]

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Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that \ /_A B C is equal to half the difference of the angles subtended by the chords AC and DE at the centre.

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle. Prove that \ /_A B C is equal to half the difference of the angles subtended by the chords AC and DE at the centre.

Let the vertex of an angle ABC be located outside a circle and let the sides of the angle intersect equal chords AD and CE with the circle.Prove that /_ABC is equal to half of the difference of the angles subtended by the chords AC and DE at the center.

Let vertex of an angle ABC be located outside a circle and let the sides of the angle intersect chords AD and CE with the circle. Prove that /_ABC is equal to half the difference of the angles subtended by the chords AC and DE at the centre.

The chord of a circle is equal to its radius, find the angle subtended by this chord at the centre.

Prove that a diameter of a circle which bisects a chord of the circle, also bisects the angles subtended by the chord at the centre of the circle.

Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the angle bisector of /_BAC.

Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the angle bisector of angleBAC .

If the angles subtended by the chords of a circle at the centre of the circle are equal, then the chords are equal.