Math, asked by kk2889760, 11 days ago

please tell me the question of maths​

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Answers

Answered by BrainlySparrow
154

Answer:

14°

Step-by-step explanation:

Given :-

  • They are forming a linear pair.
  • The angles are :

➤ (6x - 40)°

➤ (5x + 9)°

➤ (3x + 15)°

To Find :-

  • Value of x.

Solution :-

★ As they forming a linear pair so :

\longrightarrow (6x - 40)° + (5x + 9)° + (3x + 15)° = 180°

\longrightarrow 6x + 5x + 3x - 40 + 9 + 15 = 180°

\longrightarrow 14x - 40 + 24 = 180°

\longrightarrow 14x - 16 = 180°

\longrightarrow 14x = 180 + 16

\longrightarrow 14x = 196°

\longrightarrow x = 196/14

\longrightarrow x = 14°

Hence,

  • Value of x is 14°
Answered by Anonymous
36

___________________

Given :-

  • 1 angle = (6x - 40)°
  • 2 angle = (5x + 9)°
  • 3 angle = (3x + 15)°

To Find :-

  • The value of x

Solution :-

~ We can see that there is a straight line being divided into 3 parts/angles. We also know that the straight line is 180° , so the 3 angles add up to 180° .

» Sum of the three angles = 180°

Finding the value of x :-

» (6x - 40)° + (5x + 9)° + (3x + 15)° = 180°

» (6x + 5x + 3x - 40 + 9 + 15)° = 180°

» (14x - 16 )° = 180°

» 14x = ( 180 + 16 )°

» 14x = 196°

» x = 196/14

» x = 14°

Therefore, the value of x is 14°

Verification :-

» Sum of the 3 angles = 180°

» (6x - 40)° + (5x + 9)° + (3x + 15)° = 180°

» (6×14 - 40)° + (5×14 + 9)° + (3×14 + 15)° = 180°

» (84 - 40)° + (70 + 9)° + (42 + 15)° = 180°

» ( 44 + 79 + 57 )° = 180°

» 180° = 180°

Hence, verified!

___________________

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