Solve Problems Using Systems in Three Variables
-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 $60 ^ { \circ }$ 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 $180 ^ { \circ }$.)
A) First angle is $20 ^ { \circ }$, second angle is $100 ^ { \circ }$, third angle is $60 ^ { \circ }$
B) First angle is $26 ^ { \circ }$, second angle is $96 ^ { \circ }$, third angle is $58 ^ { \circ }$
C) First angle is $18 ^ { \circ }$, second angle is $100 ^ { \circ }$, third angle is $58 ^ { \circ }$
D) First angle is $24 ^ { \circ }$, second angle is $102 ^ { \circ }$, third angle is $54 ^ { \circ }$

Question

Quizplus · Accepted Answer

The system of equations based on the problem's description is: $x + y = z + 60$, $y - z = 2x$, and $x + y + z = 180$. Solving this system yields $x = 20^\circ$, $y = 100^\circ$, and $z = 60^\circ$.

Solve Problems Using Systems in Three Variables -A Real Estate 60∘60 ^ { \circ }60∘

Solve Problems Using Systems in Three Variables
-A Real Estate $60 ^ { \circ }$