Question

Find the value of x in the following figure
step by step answer pls​

Answer 1

Answer:

x= 160

Step-by-step explanation:

Let the point of intersection of both the lines be O then,
∠AOB +∠BOC = 180˚ (Linear Pair.)
(x/5)-27 +x+15 = 180˚
x-135 +5x+75 = (180˚)x5
6x -60 = 900˚
6x = 960˚
x= 160˚


Please consider my answer as the brainliest.

Answer 2

Let the point of intersection be O.

∠AOB = x/5 - 27

∠BOC = x + 15

∠AOB + ∠BOC = 180⁰ ( Angles linear pair )

x/5 - 27 + x + 15 = 180⁰

Multiplying throughout by 5,

x/5 × 5 - 27 × 5 + x × 5 + 15 × 5 = 180 × 5

x - 135 + 5x + 75 = 900

x + 5x - 135 + 75 = 900

6x - 60 = 900

6x = 900 + 60

6x = 960

x = 960/6

x = 160

Hope it helps !!