Maths-
General
Easy

Question

Find the value of x if 𝑚∠𝑃𝑂𝑅 = 30°

Hint:

  • Angle is formed when two lines intersect at a point.
  • The measure of the 'opening' between these two rays is called an 'angle'.
  •  It is represented by the symbol ∠. 
  • Angles are usually measured in degrees and radians.

The correct answer is: 5


    • Step by step explanation: 
      • Given:
                             𝑚∠POR = 30°.
                             𝑚∠POQ = (5x + 2)°  𝑚∠QOR = (2x - 7)°
    • Step 1:
    • From the figure it is clear that,
                             POR = POQ + QOR
    • Step 2:
    • Put values of ∠POQ and ∠QOR
     ∠POR = ∠POQ + ∠QOR

     30 = (5x + 2) + (2x - 7)

     30 = 7x - 5

     7x = 30 + 5

     7x = 35

     x = 35 over 7

     x = 5

    • Final Answer:
    Hence, the value of x is 5.

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