Maths-
General
Easy

Question

Ray OP bisects a straight angle ∠𝐴𝑂𝐵. Find 𝑚∠𝐴𝑂𝑃.

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 angle made by a straight line is called a straight angle.
  • Measure of straight angle is 180o.

The correct answer is: 90 digres


    • Step by step explanation: 
      • Given: 

    Ray OP bisects AOB

    AOB is straight angle

    𝑚∠AOB = 180°

    • Step 1:
    • Let 𝑚∠AOB = xo
    • As we know angle bisectors bisects the angle in two equal parts.
    Hence,
    Ray OP bisect AOB is two parts
    x over 2 and x over 2 each.
    Hence,

    m∠𝐴𝑂𝑃x over 2

    m ∠AOP = 180 over 2

    m ∠AOP = 90o

    ∴ m ∠AOP = 90o.

    • Final Answer: 
    Hence, 𝑚∠AOP is 90o.

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