Question

pls answer it's urgent I'll mark beainliest​

Answer 1

60°

Step-by-step explanation:

Given,

CD ║ AB

⇒ CD ║ AF   ( shown in the given diagram ),

Let ∠x and ∠DCE are linear pairs,

⇒ ∠x + m∠DCE= 180°,

⇒ ∠x + 75° = 180°        ( by the diagram ),

⇒ ∠x = 180° - 75° = 105°,

By the alternate interior angle theorem,

∠x ≅ ∠1,

⇒ m∠x = m∠1

⇒ m∠1 = 105°,

Now, by the vertically opposite angle theorem,

∠1 ≅ ∠BEO,

⇒ m∠BEO = 105°,

Now, m∠EBO = 15°,

∵ BEO is a triangle,

⇒ m∠EBO + m∠BEO  + m∠BOE = 180°,

⇒  15° + 105° + m∠BOE = 180°,

⇒  120° + m∠BOE = 180°,

⇒  m∠BOE = 60°,