If an exterior angle of a cyclic quadrilateral be 50°,

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If an exterior angle of a cyclic quadrilateral be 50°, then the interior opposite angle is :

1. 130°
2. 40°
3. 50°
4. 90°

Correct Option: C

According to question , we draw a figure of cyclic quadrilateral ABCD

Given , an exterior angle of a cyclic quadrilateral = 50°
From figure ,
As we know that , ∠ABC + ∠ADC = 180°
∠CBE = 50°
∴ ∠ABC = 180° – 50° = 130°
∴ ∠ADC = 180° – 130° = 50°