Solve the problem.
-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 80° 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 thrice the measure of the first angle. Find the measure of each angle
A) First angle is $20 ^ { \circ }$, second angle is $110 ^ { \circ }$, third angle is $50 ^ { \circ }$
B) First angle is $18 ^ { \circ }$, second angle is $110 ^ { \circ }$, third angle is $48 ^ { \circ }$
C) First angle is $24 ^ { \circ }$, second angle is $112 ^ { \circ }$, third angle is $44 ^ { \circ }$
D) First angle is $26 ^ { \circ }$, second angle is $106 ^ { \circ }$, third angle is $48 ^ { \circ }$

Question

Quizplus · Accepted Answer

The sum of the angles in a triangle is 180°. Let the first angle be $x$, the second angle be $y$, and the third angle be $z$. The given conditions are: $x + y = z + 80$ and $y - z = 3x$. Solving these equations with the fact that $x + y + z = 180$ leads to the solution where the first angle is $20°$, the second angle is $110°$, and the third angle is $50°$.

Solve the Problem 20∘20 ^ { \circ }20∘ , Second Angle Is

Solve the Problem $20 ^ { \circ }$ , Second Angle Is