Maths-
General
Easy

Question

Find the value of x.

hintHint:

  • The angle made by a straight line is called a straight angle.
  • Measure of straight angle is 180o.

The correct answer is: 44


    Step by step explanation:
      • Given :𝑚∠AOB = (x + 4)°  
    𝑚∠BOC = 3x°.
    • Step 1 : From the figure it is clear that,

    ∠POS is straight angle hence ∠AOC = 180o.

    and

    ∠AOC = ∠AOB + ∠BOC

    • Step 2 : Put values of ∠AOC and ∠BOC 

    ∠AOC = ∠AOB + ∠BOC  

    180 = (x + 4) +  3x

    180 = 3x + x + 4

    180 = 4x + 4

    4x = 180 - 4

    4x = 176

    x = 176 over 4

    x = 44

    • Final Answer:
    Hence, the value of x is 44.