Question

in the adjoining figure what is value of x will make AOB a straight line ​

Answer 1

Answer:

23.45

Step-by-step explanation:3x+20+4x-36=180(linear pair axiom)

3x+4x+20-36=180

7x-16=180

7x=180+16=196

x=196/7

=28

Answer 2

ANSWER-

The value of x in the figure us $\sf\green {28°}$

Step by step explanation-

Given-

• $∠AOC = (3x + 20)°$
• $∠BOC = (4x - 36)°$

Solution-

AOB will be straight line, if

$∠AOC + ∠BOC= 180°$

$\sf\blue {∴ (3x + 20) + (4x - 36) = 180}$

$⟹(3x + 4x) + ( 20 - 36)$

$⟹5x + ( - 16) = 180$

$⟹7 x - 16 = 180$

$⟹7x = 180 + 16$

$⟹7x = 196$

$\sf\red {⟹x = \frac{196}{7} = 28°}$

Hence, x = 28° will make AOB a straight line.