Math, asked by aksha2176, 3 months ago


O is the centre of the of the circle ​

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Answers

Answered by parvatipatil662
1

Step-by-step explanation:

x=45°I think wrong means sorry

Answered by guptaamitx
1

Answer:

x=50°

Step-by-step explanation:

OA=OB(Radii of circle)

∴ ∠OAB=∠OBA= 50° (Angles opposite to equal sides are equal to each other)

In △AOB

∠OAB+∠OBA+∠AOB=180°(Angle Sum Property of Δ)

50°+50°+∠AOB=180°

100°+∠AOB=180°

∠AOB=180°-100°

∠AOB=80°

∠AOB+∠AOC=180°(Linear Pair)

80°+∠AOC=180°

∠AOC=180°-80°

∠AOC=100°

2∠ADC=∠AOC (Angle subtended by a chord at the centre is double the angle subtended by it at the remaining part of the circle- Theorem 10.8)

∴2∠ADC=100

∠ADC=100/2

∠ADC=50°

Hope It Helps :)

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