Problem #DES-anglescircles
Problem
Certain geometric objects nicely blend when they happen to be
together in a problem. One possible example of such a pair of objects is
a circle and an inscribed angle.
We will be using the following statements in the examples and
problems:
1. The supplementary angles (angles “hugging" a straight line) add up to
\(180^{\circ}\).
2. The sum of all internal angles of a triangle is also \(180^{\circ}\).
3. Two triangles are said to be “congruent" if ALL their
corresponding sides and angles are equal.
We recommend solving the problems in this sheet in the order of
appearance, as some problems use statements from previous problems as a
step in the solution. Specifically, the inscribed angle theorem (problem
2) is required to solve every other problem that comes after it.