Math, asked by shilpamaiti16, 6 months ago

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

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Answers

Answered by ItzArchimedes
67

Solution :-

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 .

Answered by ap113699
1

Answer:

Angle X = 50°

I Hope It Will Help U

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