Question

if the angles of a triangle are in the ratio 1:4:5find the angles​

Answer 1

☆ Solution ☆

Given :-

• The angles of a triangle are in the ratio 1:4:5

To Find :-

• The angles of triangle

Step-by-Step-Explaination :-

Let the ratios be 1x, 4x and 5x

As we know that :-

Sum of all angles of triangle = 180°

So,

1x + 4x + 5x = 180°

10x = 180°

x = 180/10

x = 18

Thus,

The value of x is 18°

Now,

The angles are :-

1x = 1 × 18 = 18°

4x = 4 × 18 = 72°

5x = 5 × 18 = 90°

Hence Solved!

Answer 2

Correct Question:-

If the angles of a triangle are in the ratio 1:4:5. Find the angles.

To Find:-

• Angles of triangle

Given:-

• Ratio of angles = 1:4:5

Solution:-

As we know,

$\: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \star \: \: \: { \large{ \mathfrak{sum \: of \: angles \: of \: triangle = 180 \degree}}}}$

Put x in the ratio,

• x
• 4x
• 5x

According to question,

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: \: x + 4x + 5x = 180 \degree}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: \: 10x = 180 \degree}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: \: x = \frac{180}{10}}$

$\large{ \longmapsto \tt \: \: \: \: \: \: \: \: \red{ \boxed{ \large \rm{ x = 18 \degree}}}}$

Now,

• First angle = x = 18°
• Second angle = 4x = 72°
• Third angle = 5x = 90°

Hence:-

• The angles of triangle are 18°,72° and 90°