can someone answer this asap
Answers
Explanation:
ye larki har us question par khyu aa rahai jis par hum
Explanation:
Given : angle BAC is the angle at the circumference and angle BOC is at the centre of the circle with centre O.
To prove : angle BOC = 2 angle BA
Construction : AO is joined n is extended to D.
Proof : In triangle AOB ,
OB = OA (radii)
Angle ABO = angle BAO
exterior angle BOD = angle BAO + angle ABO
Exterior angle BOD = angle BAO + angle BAO
exterior angle BOD = 2 angle BAO(let it be 1)
Again, in triangle AOC,
OC = OA
angle ACO = angle CAO
exterior angle DOC = angle ACO + angle CAO
exterior angle DOC = angle CAO + angle CAO
exterior angle DOC = 2 angle CAO(let it be 2)
Adding 1 n 2
exterior angle BOD + exterior angle DOC = 2 angle BAO + 2 angle CAO
exterior angle BOD + exterior angle DOC = 2(Angle BAO + angle CAO)
Angle BOC = 2angle BAC ( PROVED)