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The Chords Corresponding to Congruent Arcs Are Congruent

In a circle w...

Question

In a circle with centre P, chord AB ≅ chord CD and m∠APB = 40°. Find the measure of ∠CPD.

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Solution

In the given circle, chord AB ≅ chord CD; m $∠$ APB = 40°.
m $∠$ APB = m $∠$ CPD = 40° (Congruent chords of the same circle form congruent angles at the centre of the circle)
∴ m $∠$ CPD = 40°

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