Problem 7 of 34geo-007
In triangle , sides and are the same length. Side is extended past to a point , and the measure of angle is . What is the measure of angle ?
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Solution walkthrough1:52
- Draw it. Equal sides and meet at . The angle is outside the triangle, at .
- At , the outside and inside angles sit together on a straight line, so they add to : .
- Equal sides have equal angles across from them. Across from is ; across from is . Both are .
- The three angles of a triangle add to , so angle is degrees.
- Traps: stops at a base angle. is . halves , pairing the wrong equal angles.