O is the centre of the circle x and y respectively equal.(a) 38°, 45�

1.	O is the centre of the circle x and y respectively equal.(a) 38°, 45° (b) 35°, 62° (c) 62°, 35° (d) 46°, 38°
Answer» (b) 35°, 62° ∠DAC = ∠DBC = 45° (Angles in same segment) ∠DAB = 80° (Ext. ∠ of a cyclic quad = int. opp. ∠) ∴ x = ∠DAB – ∠DAC= 80° – 45° = 35° Now,∠ADB = \(\frac{1}{2}\)×∠AOB = \(\frac{1}{2}\)× 76°= 38° ∠ACB = ∠ADB = 38° (Angles in the same segment) ∴ y = 180° – (38° + 80°) =180° – 118° = 62° ( ∵DLF is a st. line)

O is the centre of the circle x and y respectively equal.(a) 38°, 45° (b) 35°, 62° (c) 62°, 35° (d) 46°, 38°

Answer»

(b) 35°, 62°

∠DAC = ∠DBC = 45° (Angles in same segment)

∠DAB = 80° (Ext. ∠ of a cyclic quad = int. opp. ∠)

∴ x = ∠DAB – ∠DAC= 80° – 45° = 35°

Now,∠ADB = \(\frac{1}{2}\)×∠AOB = \(\frac{1}{2}\)× 76°= 38°

∠ACB = ∠ADB = 38° (Angles in the same segment)

∴ y = 180° – (38° + 80°) =180° – 118° = 62° ( ∵DLF is a st. line)

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O is the centre of the circle x and y respectively equal.(a) 38°, 45° (b) 35°, 62° (c) 62°, 35° (d) 46°, 38°

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