In the segment below, segment DC = 29, <ABD = 52o, and <BCD = 30o. Find side lengths AB, BC, AC, rounded to the nearest tenth, and angle measures for <A and <ABC, rounded to the nearest degree.

Question

 In the segment below, segment DC = 29, <ABD = 52o, and <BCD = 30o. Find side lengths AB, BC, AC, rounded to the nearest tenth, and angle measures for <A and <ABC, rounded to the nearest degree.

https://docs.google.com/document/d/1MkDVkhd4QUhNSC_VAOrsCMrVWsdF5w5eA_3MaWsrcV8/edit?usp=sharing

Answer 1

You should be focusing on your angle measurements here. In question 1, if all of the measurements given were used, your triangle would equal 180 degrees. Thus, you wouldn't have a triangle at all. If two triangles do not have the same angle measurement, they are not similar triangles.

However, in question 2, your 3 angles given are correct, as in they all can be used to add to 180. So both triangles would use 75, 72, and 33 as their angles, making them similar triangles.