Two angles of a quadrilateral are of measure 65∘ and the other two angles are equal. What is the measure of each of these two angles?
Measures of two angles each = 65∘
∴ Sum of these two angles =2×65∘=130∘
But sum of four angles of a quadrilateral =360∘
∴ Sum of the remaining two angles =360∘−130∘=230∘
But these are equal to each other ∴ Measure of each angle =230∘2=115∘