Question

If the angles of a
triangle are in the ratio
1:4:5, find the angles.​

Answer 1

Answer:

1x+4x+5x=180

10x=180

x=180/10

x=18

Answer 2

Answer:

The angles are 90°, 72° and 18°.

Step-by-step explanation:

Ratio of angles = 1 : 4 : 5

The angles = ??

According to the angle sum property of triangle, sum of all angles in a triangle is 180°.

Let the angles be :

• 1x
• 4x
• 5x

$\longrightarrow$ x + 4x + 5x = 180°

$\longrightarrow$ x + 9x = 180°

$\longrightarrow$ 10x = 180°

$\longrightarrow$ x = 180°/10

$\longrightarrow$ x = 18°

First angle = 18°

Second angle :

$\longrightarrow$ 4(18)

$\longrightarrow$ 72°

Third angle :

$\longrightarrow$ 5(18)

$\longrightarrow$ 90°

Therefore, the angles are 90°, 72° and 18°.