The three angles of a triangle measure 55 degrees, 82 degrees, and x degrees. What is the value of x?
A137
B43
C45
D35
Answer & Solution
Correct answer: B. 43
1. The three angles of any triangle always add up to 180 degrees.
2. Write the equation: 55 plus 82 plus x equals 180.
3. Combine the known angles: 137 plus x equals 180.
4. Subtract 137 from both sides: x equals 43.
5. Leaving the answer as 137, the sum of the two given angles, forgets to subtract that sum from the full 180 degrees.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem_
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