Question

please find The value of x:​

Answer 1

To Find:-

The value of x and angles ....... ( ? )

Given:-

4x , 5x and 3x

Solution:-

step-by-step explanation:

We know that a straight angle measures 180°

So,

→ 5x + 4x + 3x = 180°

→ 5x + 7x = 180°

→ 12x = 180°

→ x = 180/12

→ x = 15

Now,

Let's find the measure of angles

( i ) 1st angle

→ ( 5x )°

→ ( 5 × 15 )°

→ 75°

( ii ) 2nd angle

→ ( 4x )°

→ ( 4 × 15 )°

→ 60°

( iii ) 3rd angle

→ ( 3x )°

→ ( 3 × 15 )°

→ 45°

So,

The value of x is 15 .

And , the angles are 75° , 60° and 45°

Now , Verification

We know that a straight angle measures 180°

So,

→ 75 + 60 + 45 = 180

→ 120 + 60 = 180

→ 180 = 180

Hence, L.H.S = R.H.S

⭐Verified⭐