Question

The angles of a triangle
are in the ratio 1:4:5
Determine the angles.​

Answer 1

Answer:

Ratio of angles of triangle = 1:4:5

Let, the angles be = a, 4a, 5a

Sum of these angles = 180 degree

So,

a + 4a + 5a = 180

=> 10a = 180

=> a = 180/10

=> a = 18

First angle = 18 degree

Second angle = 18 × 4 = 72 degree

Third angle = 18 × 5 = 90 degree

Ans. 18 degree, 72 degree, 90 degree

Hope it helps.

Answer 2

In context to question asked,

We have to determine the value of angle of triangle.

As per question,

The angle of triangle are in ratio of 1 :4 :5

So, let the angle of triangle are x, 4x and 5x

As we know that,

Sum of all angles of triangle will be 180 degree.

So, we will get,

$x+4x+5x = 180^0\\=>10x = 180^0\\=>x = \frac{180}{10} =18^0$

Hence, value of the angle will be,

$x = 18^0\\=>4x = (4\times 18^0) = 72^0\\=>5x = (5\times 18^0) = 90^0$