Question

Refer to the question ans fast with full ans​

Answer 1

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°.

Answer 2

Answer:

\red\blue{ \rule{80pt}{100000pt}}

Step-by-step explanation:

can you give me some points