Question

the angles of the triangles are in the ratio of 2:4:5.find the measure of all angles.​

Answer 1

Answer:

Given -:

Angles of the triangle = 2:4:5

Sum of all angles of the triangle = 180°

To find -:

Measure of all angles of triangle

Taken -:

Let 2:4:5 be 2x , 4x and 5x

So , equation will be :

$\boxed{A=2x+4x+5x=180°}$

Where,

A = Angles of the triangle

Concept -:

When , the answer will come that will the value of a x .

So , then multiply it with 2 , 4 and 5 to find the value of all the angles of triangle.

Solution -:

$A=>2x+4x+5x=180°$

$A=>6x+5x=180°$

$A=>11x=180°$

$A=>x=\dfrac{180°}{11}$

$A=>x=16.363(approx)$

Now , angles of the triangle :

$A1=>16.363×2=32.720(approx)$

$A2=>16.363×4=65.452(approx)$

$A3=>16.363×5=81.815(approx)$

Answer -:

So , all the angles of the triangle are 32.720 , 65.452 and 81.815 (approx) respectively.

Answer 2

Answer:

here is your answer

Step-by-step explanation:

angles of the triangle are in the ratio 2 : 3 : 4

Let the angles be 2x,3x,4xSum of the angles = 180

2x+3x+4x=180

9x=180

x=20

Thus, the angles of the triangle will be 40, 60, 80.

The smallest angle is 40.