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An exterior angle of a triangle is 105° and its two interior opposite angles are equal. Each of these equal angles is
(a) 37 ½°
(b) 52 ½°
Let one of interior angle be x°.
∴ Sum of two opposite interior angles = Exterior angle
∴ x° + x° = 105°
2x° = 105°
x° = 105°/2
Hence, each angle of a triangle is 52 ½°.