ABCD রম্বসের ∠ABC = 120° এবং কর্ণদ্বয়ের ছেদবিন্দু O । OE ⊥ AB হলে, ∠BOE = কত?

A 30°

B 45°

C 60°

D 120°

Solution

Correct Answer: Option A



এখানে, ∠ABC = 120°

∴ ½∠ABC = ∠OBE = 120°/2 = 60°

এবং OE⊥AB হওয়ায় ∠OEB = 90°

এখন, ΔOEB হতে পাই,
∠OEB + ∠OBE + ∠BOE = 180°
⇒ 90° + 60° + ∠BOE = 180°
⇒ 150° + ∠BOE = 180°
⇒ ∠BOE = 180° - 150° = 30°

Practice More Questions on Our App!

Download our app for free and access thousands of MCQ questions with detailed solutions