For what value of x? The angles x+15, x_15 and x+60 are the angles of a triangles
Answers
Question:
For what value of x, the angles (x+15)°, (x-15)° and (x+60)° are the angles of a triangles?
Answer:
Value of x = 40° .
Explanation:
We have given three angles of triangle which are as :
(x+15)°, (x-15)°, (x+60)° respectively.
Now,
We know that sum of all interior angles of traingle is always equal to 180°.
Therefore,
We can say that (x+15)° + (x-15)°+ (x+60)° is equal to 180°. •••••••( 1)
Now, to find value of x we have to Solve it.
Solving:
(x+15)° +(x-15)°+ (x+60)° = 180°
=> x + x + x + 15- 15 + 60 = 180°
=> 3x +60 = 180°
=> 3x = 180° - 60°
=> 3x = 120°
=> x = 120/3
=> x = 40°
∴ if value of x is 40° then the angles will be the angles of triangle.
Verification:-
To verify our answer, we have to put value of x ( 40°) in equation 1.
(x+15)° + (x-15)°+ (x+60)° = 180°
=> (40+15)° +(40-15)°+(40+60)° = 180°
=> 55° + 25° + 100° = 180°
=> 80° + 100° = 180°
=> 180° = 180°
∴ LHS = RHS
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