Writing two column proofs given: bc bisects. abd m abd =52° prove: mabc=26°

Given

BC bisects ABD

∠ ABD =52°

prove: m ∠ABC=26°

To proof

As given in the question

BC bisects ∠ABD

This means BC divided ∠ABD into the two equal parts.

Therefore

As given

∠ABD = 52°

put this in the above value

we get

∠ABC = 26°

Hence proved

An angle bisector divides the angle into equal halves.

Given that:

From the question, we understand that:

BC bisects

This means that:

---- By definition of midpoint

So, we have:

---- By substitution property

Divide both sides by 2

---- By division property of equality

So, we have:

--- By symmetric property of equality

Hence,

--- proved

Read more about angle bisection at:

link

step-by-step explanation: