Question

Good evening, Happy Valentine's Day Hi, can you please help with my math problem? Thanks for the help. Have a lovely day. Have a great Sunday. Please help me and Please explain the answer.help me, pleaseHelp me, please

Answer 1

We have the following given:

BD bisects < ABC and BD is perpendicular to AC

From the info givenw e have this:

m < ABD = m < DBC (definition of bisector)

Since BD is perpendicular to AC then we have:

m < ADB = m < CDB (supplementary angle definition)

Then:

m < DAB= m < DCB (Because sum of angles in a triangle needs to be 180)

And then by AAA criteria triangle ADB is congruent with triangle CDB