alleryStart learning →Two angles of a triangle measure 55 degrees and 82 degrees. What is the measure of the third angle?
A53 degrees
B137 degrees
C45 degrees
D43 degrees
Answer & Solution
Correct answer: D. 43 degrees
1. Let x equal the measure of the third angle.
2. The three angle measures must add to 180 degrees, so 55 plus 82 plus x equals 180.
3. Combine the known angles: 137 plus x equals 180.
4. Subtract 137 from both sides to get x equals 43 degrees.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.4 Solve Geometry Applications: Triangles, Rectangles, and the Pythagorean Theorem_
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