U četverokutu
![ABCD](/media/m/9/c/e/9ce25711ba18d9663b73c3580de4bf5a.png)
vrijedi
![\angle DAB=\angle ABC=110^{\circ}](/media/m/5/a/5/5a5902bb66e00ea5c1a78a6a2b120263.png)
,
![\angle BCD=35^{\circ}](/media/m/2/6/5/265b413048a5c8792b37c71525817361.png)
,
![\angle CDA=105^{\circ}](/media/m/a/b/9/ab9ecc2e79d50d9a463268bc46144563.png)
. Poznato je da
![AC](/media/m/6/4/7/647ef3a5d68f07d59d84afe03a9dc655.png)
raspolavlja
![\angle DAB](/media/m/a/3/b/a3b73fcdf2a05418c1581bdc98a9fc37.png)
. Nađi
![\angle ABD](/media/m/b/2/1/b21c4c7e218997b389bba219f02e9371.png)
. Rješenje zaokruži na dvije decimale.
In the quadrilateral
![ABCD](/media/m/9/c/e/9ce25711ba18d9663b73c3580de4bf5a.png)
,
![\angle DAB=\angle ABC=110^{\circ}](/media/m/5/a/5/5a5902bb66e00ea5c1a78a6a2b120263.png)
,
![\angle BCD=35^{\circ}](/media/m/2/6/5/265b413048a5c8792b37c71525817361.png)
,
![\angle CDA=105^{\circ}](/media/m/a/b/9/ab9ecc2e79d50d9a463268bc46144563.png)
are valid. It is known that
![AC](/media/m/6/4/7/647ef3a5d68f07d59d84afe03a9dc655.png)
bisects
![\angle DAB](/media/m/a/3/b/a3b73fcdf2a05418c1581bdc98a9fc37.png)
. Find
![\angle ABD](/media/m/b/2/1/b21c4c7e218997b389bba219f02e9371.png)
. Round the solution to two decimal places.
[lang = hr]
U četverokutu $ABCD$ vrijedi $\angle DAB=\angle ABC=110^{\circ}$, $\angle BCD=35^{\circ}$, $\angle CDA=105^{\circ}$. Poznato je da $AC$ raspolavlja $\angle DAB$. Nađi $\angle ABD$. Rješenje zaokruži na dvije decimale.
[/lang]
[lang = en]
In the quadrilateral $ABCD$, $\angle DAB=\angle ABC=110^{\circ}$, $\angle BCD=35^{\circ}$, $\angle CDA=105^{\circ}$ are valid. It is known that $AC$ bisects $\angle DAB$. Find $\angle ABD$. Round the solution to two decimal places.
[/lang]