Question

two angles of a triangle are in tge ratio 4:5 . if the sum of these angles is equal to third angle. find the angle of triangle ​

Answer 1

Gɪᴠᴇɴ :-

Two angles of a triangle are in tge ratio 4:5 . if the sum of these angles is equal to third angle.

ᴛᴏ ғɪɴᴅ :-

• Angles of Triangle

sᴏʟᴜᴛɪᴏɴ :-

» Let the ratio of angles be 4x : 5x

Then,

» Third angle = (4x + 5x) = 9x

We know that,

➥ Sum of angles in triangle = 180°

We get,

➨ 4x + 5x + 9x = 180°

➨ 18x = 180°

➨ x = 180/18

➨ x = 10°

Hence,

• First angle = 4x = 4×10 = 40°

• Second angle = 5x = 5×10 = 50°

• Third angle = 9x = 9×10 = 90°

Answer 2

Given :

• Two angles of a triangle are in tge ratio 4:5 .

• The sum of these angles is equal to third angle.

To find :

• The angles of triangle =?

Step-by-step explanation :

Let, the two angles of a triangle are 4x and 5x.

It is Given that :

The sum of these angles is equal to third angle.

So,

4x + 5x = 9x

As we know that,

Sum of all angles of triangle = 180°.

So,

∠A + ∠B + ∠C = 180°

Substituting the values, we get,

4x + 5x + 9x = 180°

18x = 180°

x = 180°/18

x = 10°

Therefore, We get the value of x = 10°.

Hence,

Value of ∠A, 4x = 4 × 10 = 40°

Value of ∠B, 5x = 5 × 10 = 50°

Value of ∠C, 9x = 9 × 10 = 90°