Question

If the size of the angles of a triangle are 3x,5x,and 4x,find the smallest angle of triangle​

Answer 1

$\huge\bold{Solution}$

=> In this question we will use angle sum property

GIVEN :- Size of three angles of a triangle are 3x ,5 x ,4x .

Find :- The smallest Angel of the triangle .

Solution :- Angle 1 = 3x .

Angle 2 = 5x.

Angle 3 = 4x.

Angle sum property of a triangle => 180 °

Angle 1 + Angle 2 + Angle 3 => 180 °

3x + 5x + 4x => 180° .

12x => 180 °.

x=> $\frac{180°}{12}$

x=> 15

$\huge\bold{Calculation\:of\: Angles}$

Angle 1 => 3x × 15°.

Answer => 45°.

Angle 2=> 5x × 15°.

Answer=> 75°.

Angle 3=> 4x × 15° .

Answer=> 60°.

$\bold{\huge {\boxed{\boxed{\mathcal{\orange{Smallest Angel}}}}}}$

Answer => 45° .

Hence , we get the answer .

Answer 2

Answer:

The answer to the given question is If the size of the angles of a triangle are 3x,5x, and 4x, then the smallest angle of a triangle is 45°.

Step-by-step explanation:

Given :

The sizes of the angles of the triangle are given as 3x°, 5x°, and 4x°.

To find :

the smallest angle of a triangle.

Solution:

As we know that the sum of the angles of the triangle is 180°

Then by the given data , adding the sizes of an angle we can get the value of x .

$3 x+ 5x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} = 15$

The value of x is obtained as 15.

On, substituting the value of x in the given angles, we get the angles as

$3x = 3(15) = 45 \\ 5x = 5(15) = 75 \\ 4 x= 4(15) = 60$

The angle obtained is 45°, 60°, and 75°.

Among the three angles, the smallest angle of the triangle is 45°.

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