Question

two angles of a quadrilateral are 85 degrees and other two angles are equal find the magnitude of each of the equal angles​

Answer 1

Let x be the common angle of quadrilateral. As per question, ∠ ∠A = 85° ∠ ∠B = 75° ∠ ∠C = ∠ ∠D = x As we know that, Sum of all four angles of quadrilateral is 360o ∠ ∠A + ∠ ∠B + ∠ ∠C + ∠ ∠D = 360° 85° + 75°+ x + x = 360° 2x = 360° - (85° + 75°) 2x = 200° X = 200 / 2 = 100° ∠ ∠C = ∠ ∠D = 100°Read more on Sarthaks.com - https://www.sarthaks.com/1131744/angles-quadrilateral-measure-respectively-other-angles-equal-measure-these-equal-angles?show=1131780#a1131780