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Solve Using a System of Three Linear Equations

Question 73

Multiple Choice

Solve using a system of three linear equations.
-A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 114° more than the measure of the third angle. If the measure of the third angle is
Subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the
Measure of each angle. (Note: The sum of the angles of a triangle is 180°.)


A) First angle is 42°, second angle is 111°, third angle is 27°
B) First angle is 38°, second angle is 109°, third angle is 33°
C) First angle is 36°, second angle is 109°, third angle is 31°
D) First angle is 44°, second angle is 105°, third angle is 31°

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