Question

find x and yin the following figure

Answer 1

hii!!! ☺

Solution:

We know,

property of a rhombus:

1.Diagonals of rhombus are perpendicular to each other

2. Diagonals of a rhombus are angle - bisectors.

therefore,

angle DOC= angle COB= angle BOA=angle AOD= 90°......[from (1)]

now,

In ∆ AOB

angle AOB+ angle OBA+ angle BAO= 180°

90°+ 30°+x= 180°

120°+x=180°

x=60..... (3)

Side DC || side AB and DB is transversal.

angle DBA= angle BDC= 60°.....( alternate angles)

since,

DB is angle bisector,

angle ADO= angle ODC= 60°

hence,

y= angle ADO= 60°

Therefore,

x=y= 60°

hope this helps!! ✌☺❤