Maths-
General
Easy

Question

Find the value of x for which the ray OC will be an angle bisector of ∠𝑃𝑂𝐷.

Hint:

  • Angle bisector bisects the angle in two equal parts.
  • If the measure of angle is 2xo then the angle bisector will bisect it in two parts measuring xo each.

The correct answer is: 15


    • Step by step explanation: 
      • Given: 

    𝑚∠COD = (x + 30) °

    𝑚∠COP = 3x°

    • Step 1:
    • As we know angle bisectors bisects the angle in two equal parts.
    Hence,

    𝑚∠COD = 𝑚∠COP 

    x + 30 = 3x

    30 = 3x - x

    30 = 2x

    x = 30 over 2

    x = 15

    • Final Answer: 
    Hence, the value of x should be 15 for which the ray OC will be the angle bisector.

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