Question

Rays BA and BC are perpendicular. Point D lies in the interior of ∠ABC. If m∠ABD=(3r+5)° and m∠DBC=(5r−27)°, find m∠ABD and m∠DBC.



m∠ABD=
°



m∠DBC=

Answer 1

since AB⊥BC,
3r+5 + 5r-27 = 90
find r, then the angle measures

Answer 2

345