हिंदी

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

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प्रश्न

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

The image displays a circle with points $A$, $B$, $C$, and $P$ on the circumference, featuring chords forming triangles $ABC$ and $APB$. It illustrates circle geometry properties involving angles subtended by arcs in the same segment.

विकल्प

  • 65°

  • 50°

  • 75°

  • 60°

MCQ
रिक्त स्थान भरें
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उत्तर

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

Explanation: 

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°.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Circles - EXERCISE 17 (A) [पृष्ठ २५७]

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सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 17 Circles
EXERCISE 17 (A) | Q 1. (c) | पृष्ठ २५७
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