Question

Please help me solve this and please explain step by step process

Answer 1

Check the picture below.

since we know that the bisector at ∡D hits perpendicular on the other side, that means the triangle is an isosceles, or namely that CD = AD, so we can say then that

`2x+2x+x=180\implies 5x=180\implies x=\cfrac{180}{5}\implies x=36 \\\\[-0.35em] ~\dotfill\\\\ 2x+\measuredangle DBA=180\implies 2(36)+\measuredangle DBA=180 \\\\\\ 72+\measuredangle DBA=180\implies \measuredangle DBA=108^o`