Maths-
General
Easy

Question

Ray OQ bisects βˆ π‘ƒπ‘‚π‘…. Find π‘šβˆ π‘ƒπ‘‚π‘… if π‘šβˆ π‘ƒπ‘‚π‘„ = 24Β°.

The correct answer is: 48 digres


    • 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.
    • Step by step explanation:Β 
      • Given:Β 
    Ray OQ bisects βˆ π‘ƒπ‘‚π‘…
    π‘šβˆ POQ = 24Β°
    • Step 1:
    • Let π‘šβˆ POQ = xo
    • As we know angle bisectors bisects the angle in two equal parts.
    Hence,
    π‘šβˆ POQ = π‘šβˆ QOR = xo
    • Step 2:
    From figure it is clear that:
    ∠POQ + ∠QOR = ∠POR
    x + x = ∠POR
    2x = ∠POR
    We know that x = 24o
    ∴ ∠POR = 2x = 2(24)
    ∠POR = 48o.
    • Final Answer:Β 
    Hence,Β π‘šβˆ π‘ƒπ‘‚π‘… is 48o.

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