In the figure out is the centre and AD is the diameter of the circle B and C are two points on it
Answers
Answer:
As AD∥BC and DB is a transversal.
⇒ ∠ODB=∠DBC [ Alternate angles ]
∴ ∠ODB=32o
In △OBD
OB=OD [ Radius of a circle ]
∴ △OBD is isosceles triangle.
⇒ ∠OBD=∠ODB= [ Base angles are equal in isosceles triangle ]
∴ ∠OBD=32o
∠OBD+∠ODB+∠BOD=180o [ Sum of angles of triangle is 180o. ]
⇒ 32o+32o+∠BOD=180o
⇒ 64o+∠BOD=180o
⇒ ∠BOD=116o
⇒ ∠BOD+∠AOB=180o [ Linear pair ]
⇒ 116o+∠AOB=180o
∴ ∠AOB=64o
In △AOB,AO=OB, hence its an isosceles triangle
⇒ ∠OAB=∠OBA
Now, ∠AOB+∠OAB+∠OBA=180o
⇒ 64o+∠OAB+∠OAB=180o
⇒ 2∠OAB=116o
∴ ∠OAB=58o
⇒ ∠OAB=∠BED [ Angles subtended by the same chord BD ]
∴ ∠BED=58o.
(i) ∠OBD=32o
(ii) ∠AOB=64o
(iii) ∠BED=58o.
Answer:
The largest adults are thought to have weighed 5,450–7,260 kg (approximately 12,000–16,000 pounds). Triceratops, a late Cretaceous dinosaur, was a massive herbivore with a bony neck frill and three face horns. It was one of the last and most numerous of dinosaurs.
herbivore with a bony neck frill and three face horns. It was one of the last and most numerous of dinosaurs.