please tell me the question of maths
Answers
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 :
(6x - 40)° + (5x + 9)° + (3x + 15)° = 180°
6x + 5x + 3x - 40 + 9 + 15 = 180°
14x - 40 + 24 = 180°
14x - 16 = 180°
14x = 180 + 16
14x = 196°
x = 196/14
x = 14°
Hence,
- Value of x is 14°
___________________
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!