Question

in the above figure aob is a straight line and the ray OC stand on it what is the value of x tell me fast plz ​

Answer 1

Given:

• Line AOB is straight
• OC is a ray
• Angle AOC = 2x + 15°
• Angle COB = 3x + 35°

To find:

The value of x

Solution:

We know that the line AOB is straight, which signifies that it has an angle of 180 degrees. Therefore, both the angles on the side of ray OC should sum up to 180°. The following equation is formed:

(2x + 15°) + (3x + 35°) = 180°

Now let's solve it. The first step is to sum up the like terms in the LHS:

⇒ 2x + 15 + 3x + 35 = 180

⇒ 5x + 50 = 180

Transposing 50,

⇒ 5x = 180 - 50

⇒ 5x = 130

Transposing 5,

⇒ x = 130/5

⇒ x = 26°

Therefore the value of x is 26 degrees.