TBQ - Determine the angle and explain — task. Maths CBSE Live product, Class 9 (2026-27).

The diameter of a circle is \(LM\). Point \(N\) is on the circumference. What is the measure of the \(∠LNM\)? State the reason.

Answer:

The measure of the \(∠LNM\) is:

Explanation:

The angle subtended by an arc at the centre of the circle is double the angle subtended by the arc at any point on the circle outside the arc.
The angle subtended by a diameter at any point on the circle is \(90°\).
Equal arcs of a circle subtend equal angles at the centre.
Angles in the same segment of a circle are equal.

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3. TBQ - Determine the angle and explain