In a figure, ray OP stands on a line AB at O. The angle AOP and angle POB are formed.
If angle AOP = $(2 x + 10)$ deg and angle POB = $(3 x - 5)$ deg, find the value of $x$ .

Question

In a figure, ray OP stands on a line AB at O. The angle AOP and angle POB are formed. If angle AOP = (2x + 10) deg and angle POB = (3x - 5) deg, find the value of x.

Accepted Answer

35. AOP and POB form a linear pair: (2x + 10) + (3x - 5) = 180, so 5x + 5 = 180, 5x = 175, x = 35.

In a figure, ray OP stands on a line AB at O. The angle AOP and angle POB are formed.
If angle AOP = $(2 x + 10)$ deg and angle POB = $(3 x - 5)$ deg, find the value of $x$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

In a figure, ray OP stands on a line AB at O. The angle AOP and angle POB are formed.If angle AOP = (2x+10) deg and angle POB = (3x−5) deg, find the value of x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

In a figure, ray OP stands on a line AB at O. The angle AOP and angle POB are formed.
If angle AOP = $(2 x + 10)$ deg and angle POB = $(3 x - 5)$ deg, find the value of $x$ .