Question

ABCD is a rhombus such that ∠ ACB =30°. Then ∠ADB is
A) 40°
B) 45°
C) 60°
D) 50​

Answer 1

ABCD is a rhombus such that ∠ ACB =30°. Then ∠ADB is

A) 40°

Answer 2

Answer: in rhombus ABCD,

angle ACB = angle CAD = 40. (. alt int. angle )

now,

angle AOD = 90 ( diagonal of rhombus bisect each other at 90 degree)

so, in triangle AOD ,

angle COD + angle AOD +angle ODA = 180

40 + 90 + ADB = 180

ADB = 180 - 130= 50