f ∠A is 95° and ∠B is 105°, what is ∠C?A) 75° B) 85° C) 95° D) 105°
Accepted Solution
A:
The question is missing important data. The quadrilateral having vertices A, B, C and D is a cyclic quadrilateral.Answer:B) 85°Step-by-step explanation:Given:A cyclic quadrilateral with ∠A is 95° and ∠B is 105°.For a cyclic quadrilateral, the sum of the opposite interior angles is equal to 180°Therefore, sum of angles A and C is 180°.[tex]\angle A + \angle C=180\°\\95\°+\angle C=180\°\\\angle C=180-95\\\angle C =85\°[/tex]Therefore, the correct option is option B) 85°