What is development
Answers
Explanation:
Development is a process that creates growth, progress, positive change or the addition of physical, economic, environmental, social and demographic components.
Answer:
Answer:
90°, 60° & 30° is the required angles of triangle.
Step-by-step explanation:
According to the Question
As Per given Condition :-
Largest angle of a triangle is equal to the sum of the other two angles.
If the smallest angle is 1/3 of the largest angle
Let the largest angle be x
Smallest angle be x/3
And another angle be y
1st equation :-
:\implies:⟹ x = x/3 + y
:\implies:⟹ x = x +3y/3
:\implies:⟹ 3x = x + 3y
:\implies:⟹ 2x = 3y
:\implies:⟹ 2x - 3y = 0 ⠀⠀⠀⠀⠀⠀⠀⠀----(i)
Now,
2nd equation :-
As we know that sum of all angles in a triangle is 180°.
:\implies:⟹ x + x/3 +y = 180°
:\implies:⟹ 3x + x + 3y = 540°
:\implies:⟹ 4x + 3y = 540° ⠀⠀⠀⠀⠀⠀⠀⠀---(ii)
Adding equation (i) & (ii) we get
:\implies:⟹ 6x = 540°
:\implies:⟹ x = 540/6
:\implies:⟹ x = 90°
Now, putting the value of x = 90° in Equation (i) we get
:\implies:⟹ 180° -3y = 0
:\implies:⟹ -3y = -180°
:\implies:⟹ y = 180°/3
:\implies:⟹ y = 60°
And , smallest angle = x/3 = 90°/3 = 30°
Hence, the angles of triangles are 90° , 60° & 30°.