Maths-
General
Easy

Question

Find the value of x for which the ray OC will be an angle bisector of βˆ π‘ƒπ‘‚π·.

hintHint:

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

The correct answer is: 15


    • Step by step explanation:Β 
      • Given:Β 

    π‘šβˆ COD = (x + 30) Β°

    π‘šβˆ COP = 3xΒ°

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

    π‘šβˆ COD = π‘šβˆ COPΒ 

    x + 30Β = 3x

    30 = 3x - x

    30 = 2x

    x =Β 30 over 2

    x = 15

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

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