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: 17


    Step by step explanation: 
      • Given : 𝑚∠POQ = (3x + 10)°  𝑚∠QOR = 2x°
    𝑚∠ROS = 5x°.
    • Step 1 : From the figure it is clear that,

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

    and

    ∠POS = ∠POQ + ∠QOR + ∠ROS

    • Step 2 : Put values of ∠POQ, ∠QOR and ∠ROS 

    ∠POS = ∠POQ + ∠QOR + ∠ROS 

    180 = (3x + 10) + 2x + 5x

    180 = 3x + 2x + 5x + 10

    180 = 10x + 10

    10x = 180 - 10

    10x = 170

     x = 170 over 10

     x = 17

    • Final Answer:
    Hence, the value of x is 17.

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