Question

Find the value of x. The figure is given above. (a) 40⁰ (b) 60⁰ (c) 50⁰ (d) 80⁰ plz help me....!!​

Answer 1

Answer:

By observing the given figure ,

There is a straight line EBF

∠EBD = ( x + 3 ) °

∠DBC = ( x + 20 ) °

∠CBF = ( x + 7 ) °

We need to find ,

The value of x = ?

Finding x using straight line property ,

Straight line property :- Sum of all angles on a straight line is equal to 180°

Similarly ,

• ∠EBD + ∠DBC + ∠CBF = 180°

Substituting the values of angles EBD , DBC & CBF

⇒ ( x + 3 ) ° + ( x + 20 ) ° + ( x + 7 ) ° = 180°

⇒ 3x + 30° = 180°

⇒ 3 ( x + 10° ) = 180°

⇒ x + 10° = 180°/3

⇒ x + 10° = 60°

⇒ x = 60° - 10°

⇒ x = 50°

Hence , x = 50° . So , option

( c ) is your answer .

hope you understand my answer right