Maths-
General
Easy
Question
Ray OQ bisects ∠𝑃𝑂𝑅. Find 𝑚∠𝑃𝑂𝑄 if 𝑚∠𝑃𝑂𝑅 = 42°.
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 correct answer is: 21 digres
- Step by step explanation:
- Given:
Ray OQ bisects ∠𝑃𝑂𝑅
𝑚∠POR = 42°
- 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 m ∠POR = 42^{o}
∴ 2x = 42
x =
x = 21^{o}
m ∠POQ = 21^{o}.
- Final Answer:
Hence, 𝑚∠POQ is 21^{o}.
- Given:
We know that m ∠POR = 42^{o}
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