Chord of a circle subtends an angle of at point on the circumference

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

Chord ABAB of a circle subtends an angle of 38∘38^{\circ} at point CC on the circumference. Point DD is another point on the circumference on the same side of ABAB as CC. (i) Name the two angles in the figure that are equal. (ii) Give a geometrical reason to justify their equality. (iii) Find the measure of ∠ADB\angle ADB.

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