Question

find the value of x
pls explain step-by-step frnds​

Answer 1

the sum of angles in a triangle is 180 .

consider the triangle AOC

one angle is 100°

therefore the sum of remaining angles is 180-100 = 80°

since it is an isosceles triangle (OA=OC) ,

angle OAC = angle OCA

therefore x = 80/2 = 40°

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Answer 2

Answer:

OA=OB (Radius of circle)

=> ∠OAB=∠OBA

In triangle OBA,

∠OAB+∠OBA+∠BOA=180

=>∠OAB+∠OAB+140=180

=> 2∠OAB=40=> ∠OAB=20°

In triangle OAC,

OA=OC (Radius of circle)

=>∠OAC=∠OCA

Again,in triangle OAC,

∠OAC+∠AOC+∠ACO=180°

=> ∠OAC+100+∠OAC=180°

=>2∠OAC=80°

=> ∠OAC=40°

Therefore,

∠BAC=x°=∠BAO+∠OAC=20+40=60°

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