Question

if (2x+5) and (3x+4) are linear pair of angles, then find the value of x.



pls answer it ​

Answer 1

Answer:

x = 34.2°

Step-by-step explanation:

The sum of angles that form a linear pair is 180°

∴ (2x + 5) + (3x + 4) = 180

⇒ 2x + 3x + 5 + 4 = 180

⇒ 5x + 9 = 180

⇒ 5x = 180 - 9

⇒ x = 171/5 = 34.2

Answer 2

Given:

• (2x + 5)

• (3x + 4)

What To Do:

We have to find the value of x.

How To Find:

To find x,

• Sum of Linear Pair = 180°
• Substitute and solve.

Property:

• Sum of Linear Pair = 180°

Solution:

Sum of Linear Pair = 180°

Substitute the values,

⇒ (2x + 5) + (3x + 4) = 180°

Remove the brackets,

⇒ 2x + 5 + 3x + 4 = 180°

Rearrange the like terms,

⇒ 2x + 3x + 5 + 4 = 180°

Solve the terms,

⇒ 5x + 9 = 180°

Take 9 to RHS,

⇒ 5x = 180 - 9

Subtract it,

⇒ 5x = 171

Take 5 to RHS,

⇒ $\sf{x = \dfrac{171}{5}}$

Divide it,

⇒ x = 34.2°

∴ Thus, the value of x is 34.2°.