For each question, you must: include a diagram; show all your work, and justify your steps by stating the theorems or axioms that you are using. 1. (5 points) Prove the following: If P is a point inside ABC, then ∠ABC > ∠APC.
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We want to prove that angle ABC is greater than angle APC. To do this, we can use the fact that the sum of the angles in a triangle is 180 degrees. Let's call angle BAP x and angle PAC y. Then we have: angle ABC = angle BAP + angle PAC + angle ACB angle APC = Show more…
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