Question

find the value of x
please write the full answer

Answer 1

Given :-

• ∠BOC = 60°.

To Find :-

• The value of x.

Solution :-

As, AOC is a line

⇛ ∠BOC + ∠AOB = 180°

⇛ 60° + ∠AOB = 180°

⇛ ∠AOB = 180° - 60°

⇛ ∠AOB = 120°.

★ In triangle AOB

OA = OB (Radius of same circle)

⇛ ∠ABO = ∠OAB = x. (Angle opposite to equal sides are also equal)

★ In triangle OAB,

We know, sum of angles of a triangle is 180°.

Therefore, ∠OAB + ∠OBA + ∠AOB = 180°

⇛ x + x + 120° = 180°

⇛ 2X = 180° - 120°

⇛ 2X = 60°

⇛ x = 30°.

Answer 2

Step-by-step explanation:

if it's given in the question that O is radius then I hope my answer to be correct.