Question

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

Answer 1

Step-by-step explanation:

1x + 4x + 5x = 180°

10x = 180°

x = 180/10

x = 18

So,

A = 1x = 18 × 1 = 18°

B = 4x = 18 × 4 = 72°

C = 5x = 18 × 5 = 90°

Answer 2

Answer:

=> The angles of a triangle are 18°, 72°, and 90°.

Step-by-step explanation:

Given ratio:-  1 : 4 : 5

We have to find the angles of a triangle,

Let,

The angle of a triangle is $1x$, $4x$, and $5x$.

Now, by using the property for sum of angles:

=> $1x+4x+5x=180^o$

=> $10x$ = 180°

Divide $10$ on both the sides we get,

$=> \frac{10x}{10}= \frac{180}{10}$

By simplifying it further, we get

=> $x$ = 18°

The angles are:

$=> x = 18^o\\=> 4x=4\times 18=72^o\\=> 5x=5\times 18=90^o$

Hence, the angles are $18^o$, $72^o$, and $90^o.$