Question

One angle measures 54 more degrees than 3 times another angle. The angles are supplementary. Which system of equations that can be used to determine x and y, measures of the angles?
Responses
A y = 54 - 3x

x + y = 180 y = 54 - 3 x x + y = 180
B y = 54 + 3x

x + y = 180 y = 54 + 3x x + y = 180
C y = 54 + 3x

x - y = 180


y = 54 + 3 x x - y = 180
D y = 54 - 3x

x - y = 180

Answer 1

B.

Explanation: Let x be one angle and y the other. "One angle measures 54 more than 3 times another" gives y = 3x + 54, and supplementary gives x + y = 180. Option B matches.

(If you solve: x + (3x + 54) = 180 → 4x = 126 → x = 31.5°, y = 148.5°.)