Maths-

General

Easy

Question

# Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑅 if 𝑚∠𝑃𝑂𝑄 = 24°.

## The correct answer is: 48 digres

- Hint:
- Angle bisector bisects the angle in two equal parts.
- If the measure of angle is 2x
^{o} then the angle bisector will bisect it in two parts measuring x^{o} each.

- Step by step explanation:
- Given:

Ray OQ bisects ∠𝑃𝑂𝑅

𝑚∠POQ = 24°

- Step 1:
- Let 𝑚∠POQ = x
^{o}
- As we know angle bisectors bisects the angle in two equal parts.

Hence,

𝑚∠POQ = 𝑚∠QOR = x^{o}

- Step 2:

From figure it is clear that:

∠POQ + ∠QOR = ∠POR

x + x = ∠POR

2x = ∠POR

We know that x = 24^{o}

∴ ∠POR = 2x = 2(24)

∠POR = 48^{o}.

- Final Answer:

Hence, 𝑚∠𝑃𝑂𝑅 is 48^{o}.

- Angle bisector bisects the angle in two equal parts.
- If the measure of angle is 2x
^{o}then the angle bisector will bisect it in two parts measuring x^{o}each.

- Given:

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