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Mathematics

In the given figure, chord AB = chord PB and angle C = 50°. The angle PAB is equal to :

  1. 65°

  2. 50°

  3. 75°

  4. 60°

In the given figure, O is center of the circle and angle OBA = 50°. The angle P is : Circles, Concise Mathematics Solutions ICSE Class 10.

Circles

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Answer

We know that,

Angle in same segment are equal.

∴ ∠APB = ∠ACB = 50°

In △ PAB,

PB = AB (Given)

We know that,

Angles opposite to equal sides of a triangle are equal.

∴ ∠PAB = ∠APB = 50°.

Hence, Option 2 is the correct option.

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