In the above figure, \(m(\text{arc } MN) = 70^\circ\), find \(\angle MLN\).[Figure: a circle with points L, M, N on it; chords LM and LN are drawn, so that \(\angle MLN\) is an inscribed angle standing on arc MN.]

Q.1 (B)(2) In the above figure, \(m(\text{arc } MN) = 70^\circ\), find \(\angle MLN\).

[Figure: a circle with points L, M, N on it; chords LM and LN are drawn, so that \(\angle MLN\) is an inscribed angle standing on arc MN.]

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Answer: \(\angle MLN = 35^\circ\)

An inscribed angle is half the measure of its intercepted arc: \(\angle MLN = \dfrac{1}{2}m(\text{arc } MN) = \dfrac{1}{2}\times 70^\circ = 35^\circ\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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In the above figure, \(m(\text{arc } MN) = 70^\circ\), find \(\angle MLN\).[Figure: a circle with points L, M, N on it; chords LM and LN are drawn, so that \(\angle MLN\) is an inscribed angle standing on arc MN.]

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