Question

ABCD is a rhombus such that ∟ADB = 50°, then what is the measure of ∟ACB?​

Answer 1

Answer:

The diagonals of a rhombus are at right angle to each other .

∴ ∠AOD = 90°

Now , in △AOD , we have

∠ADO + ∠DAO + ∠AOD = 180°

⇒ ∠ADO + 50° + 90° = 180°

⇒ ∠ADO + 140° = 180°

⇒ ∠ADO or ∠ADB = 40°