Math, asked by xityfxuxfougohvihv, 4 months ago

1. In Fig. 10.36, A,B and C are three points on a
circle with centre O such that Z BOC = 30° and
Z AOB = 60°. If D is a point on the circle other
than the arc ABC, find ZADC.​

Attachments:

Answers

Answered by Anonymous
20

{\huge{\underline{\small{\bold{\red{Answer:-}}}}}}

{\huge{\underline{\small{\bold{\orange{Given:-}}}}}}

⇝∠AOB = 60°

⇝∠BOC= 30°

{\huge{\underline{\small{\bold{\pink{Here,}}}}}}

⇝∠AOC = ∠AOB + ∠BOC

⇝∠AOC = 60°+30°

⇝∠AOC = 90°

{\huge{\underline{\small{\bold{\orange{Since,}}}}}}

Arc ABC makes an angle of 90° at the centre of the circle.

⇝∠ADC= 1/2∠AOC

[SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE]

⇝∠ADC= 1/2(90°)

⇝∠ADC= 45°

{\huge{\underline{\small{\bold{\blue{Hence,}}}}}}

⇝ ∠ADC= 45°

{\huge{\underline{\sf{\bold{\red{Hope\:help\:u:)}}}}}}

Answered by Anonymous
8

</p><p>\huge{\blue{\boxed{\boxed{\red{\ulcorner{\mid{\overline{\underline{\bf{Answer:-}}}}}}\mid}}}}

Given:−

  • ∠AOB = 60°

  • ∠BOC= 30°

Here,

  • ∠AOC = ∠AOB + ∠BOC

  • ∠AOC = 60°+30°

  • ∠AOC = 90°

Since,

  • Arc ABC makes an angle of 90° at the centre of the circle.

∠ADC= 1/2∠AOC

  • [SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE]

∠ADC= 1/2(90°)

∠ADC= 45°

Hence,

  • ∠ADC= 45°

Hope it will be helpful :)

Similar questions