Question

find the value x for which angle AOB become a straight line in the given figure​

Answer 1

Answer:

2x +30+3x=180

so x=30

hope it helps.....

Answer 2

Answer:

The value of 'x' is 30°

Step-by-step explanation:

Given that,

AB is a straight line and OP is the line passing through it by making two angles.

Angle made by OP with AB is ∠AOP = 2x + 30°

Another angle made by OP with AB is ∠BOP = 3x

as we know that,

the sum of the angles made by a straight line is 180°

⇒ ∠AOP + ∠BOP = 180°

⇒ 2x + 30° + 3x = 180°

⇒ 5x + 30° = 180°

⇒ 5x = 180° - 30°

⇒ 5x = 150°

⇒ x = 150/5

⇒ x = 30°

∴ The value of 'x' is 30°

HOPE THIS WOULD BE HELPFUL FOR YOU