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Equal Chords of a Circle Are at Equidistant from the Center

2. Let the ve...

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2. 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 angle ABC is equal to half of the difference of the angles subtended by the chords AC and DE at the centre.

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Similar questions

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 angle ABC is equal to half the difference of the angles subtended by the chords AC and DE at the center.

Q. Let the vertex of an angle

A B C

be located outside a circle and let the sides of the angle intersect equal chords

A D

C E

with the circle. Prove that

∠ A B C

is equal to half the difference of the angles subtended by the chords

A C

D E

Q. Question 4
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.

A B

C D

P

inside the circle. Prove that the sum of the angles subtended by the arcs

A C

B D

O

is equal to twice the angle

A P C

A B

A C

of a circle subtends angles equal to

90^{o}

150^{o}

, respectively at the centre. Find

∠ B A C

A B

A C

lie on the opposite sides of the centre.

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