Question

ABCD is a rhombus with Angle BAD=50° Find angles x &y. ​

Answer 1

Answer :

∠ x = 66° & ∠ y = 25°

Step-by-step Explanation :

Given : ∠BAD = 50°

To find : ∠x & ∠y

In rhombus,

∠BCD = ∠BAD (Opp. angles of rhombus are equall )

∠BCD = 50° ----------- ( given )

∠y= 1/2 × ∠BCD = 50/2 = 25° -------(In shombus diagonals bisect the vertical angles)

Also,

∠ABC + ∠BAD = 180°

∠ABC = 180° - 50° = 130

∠x = 1/2 × ∠ABC

∠x = 1/2 × 130 = 66. (diagonal BD bisects vertical angle ∠ABC)