Identify the missing parts in the proof. Given: ∠ABC is a right angle. DB bisects ∠ABC. Prove: m∠CBD = 45°

Accepted Solution

Answer with Step-by-step explanation:We are given that Angle ABC is  a right angle .[tex]\angle ABC=90^{\circ}[/tex]DB bisects the angle ABC.We have to prove that [tex]m\angle CBD=45^{\circ}[/tex]When DB bisects the angle ABC[tex]m\angle ABD=m\angle CBD[/tex][tex]m\angle CBD+m\angle ABD=\angle ABC[/tex]Substitute the value[tex]m\angle CBD+m\angle CBD=90[/tex][tex]2m\angle CBD=90[/tex][tex]m\angle CBD=\frac{1}{2}\times 90=45^{\circ}[/tex]Hence, proved.