1. The angles at the base of a triangle are 35° and 65° respectively. If the vertical angle is bisected, calculate the angles that the bisector makes with the base. First of all, I don't know what is a veritcal angle but I assumed it was the other angle in the triangle. In that case, it was pretty easy, using Angle Sum Triangle Theory, I got 105 and 75. Can someone confirm? 2. The point P lies within the angle ABC and is equidistant from AB and BC. Prove that PB bisects the ∠ABC. This one I'm struggling with. Especially since the distance PB is equidistant with the two sides is always changing. 3. State the converse of the following: a. If the sum of the angles in a closed figure is 180 degrees, then the figure is a triangle b. If the vegetable is green, then it is a lettuce c. If a month has 28 days, then it is February d. If an animal has four legs and a tail, then it is a cat e. If all answers on a test are correct, then no errors have been made Straight-forward and I have answers, just would like to verify them. 4. A fence post 4.5 m high casts a shadow of 2.75 m. At the same time a nearby lamp post cast a shadow 13.75 m in length. Find the height of the lamp post. No clue.