In the given figure TAS is a tangent to the circle, if ∠OBA = 32° find x and y. Share with your friends Share 8 Varun.Rawat answered this In ∆OAB, OA = OB Radii of same circle⇒∠OBA = ∠OAB Angles opposite to equal sides are equal⇒∠OAB = 32°In ∆OAB,∠AOB + ∠OAB + ∠OBA = 180° Angle sum property⇒∠AOB + 32° + 32° = 180°⇒∠AOB + 64° = 180°⇒∠AOB = 180° - 64° = 116°We know that angle subtended by an arc at the centre is double the angle subtended by the same arc at any point on the circle.Now, ∠AOB = 2∠ACB⇒116° = 2∠ACB⇒∠ACB = 58°Now, ∠SAB = ∠ACB Angles in alternate segment are equal⇒x = 58° 0 View Full Answer Kritarth answered this Please find this answer 8