Maths-
General
Easy

Question

Find x and hence find 𝑚∠𝐶𝑂𝐷

Hint:

  • The angle whose measure is 90o is called a right angle.
  • Measure of straight angle is 180o.

The correct answer is: 130/3


    • Step by step explanation: 
      • Given:

    𝑚∠COD = (x + 20)°  

    𝑚∠COP = 2x°.

    • Step 1:
    • From the figure it is clear that,

    POD is right angle hence POD = 90o.
    and 

    POD = COD + COP 

    • Step 2:
    • Put values of ∠COD and ∠COP 

    ∠POD = ∠COD + ∠COP  

    90 = (x + 20) + 2x

    90 = 2x + x + 20

    90 = 3x + 20

    3x = 90 - 20

    3x = 70

    x = 70 over 3

    • Step 3:
    • ∠COD = x + 20

    70 over 3 + 20

    70 over 3 +  fraction numerator 20 space cross times space 3 over denominator 3 end fraction

    70 over 3 + 60 over 3

    130 over 3

    • Final Answer:
    Hence, the 𝑚∠𝐶𝑂𝐷 is 130 over 3 .

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