Q. In this rhombus what is the value of x - y? Share with your friends Share 0 Varun Rawat answered this We know that in a rhombus, each diagonal bisect each of the 2 opposite angles.So, diagonal BD bisects ∠B and ∠D and diagonal AC bisects ∠A and ∠C.Now, diagonal BD bisects ∠B, then∠OBA = ∠OBC = 40°So, ∠B = ∠OBA + ∠OBC = 40° + 40° = 80°Now, ∠A + ∠B = 180° Adjacent angles of rhombus are supplementary⇒∠A + 80° = 180°⇒∠A = 100°Now, diagonal AC bisects ∠A, then∠OAB = ∠OAD = 12∠A = 50°So, ∠OAB = x = 50°Now, diagonals of rhombus are ⊥ to each other.So, ∠AOB = ∠BOC = ∠COD = ∠= 90°Now, y = 90°Now, x - y = 50° - 90° = -40° 2 View Full Answer Shivansh Mishra answered this Y= 90 and x=40 degree angle 0
