I'm in geometry and this is a problem I've been stuck on for a while now, "there exists a point T on the interior of <(angle sign)ABC such that BT->(ray sign) is an angle bisector. m<ABC=3x-5...

I'm in geometry and this is a problem I've been stuck on for a while now, "there exists a point T on the interior of <(angle sign)ABC such that BT->(ray sign) is an angle bisector. m<ABC=3x-5...

This was super difficult for me and no matter how hard I tried, I couldn't figure it out! If someone could help me that would be awesome! Thank you!

MP bisects ∠BMS. If m∠BMP = 2x + 9 and m∠BMS = 7x - 3, find the value of x and m∠PMS.

How can you use angle bisectors of triangles in real life situations to solve problems?