Two angles are supplementary. The larger angle is $60$ less than twice the smaller angle. If x represents the measure of the smaller angle, which equation would find the measure of the smaller angle?
A) 3 x - 6 = 180
B) 6 - 3 x = 180
C) 3 x - 6 = 90
D) 6 - 3 x = 90

Question

Quizplus · Accepted Answer

Since the angles are supplementary, their sum is 180 degrees. Let the smaller angle be x. The larger angle is then 2x - 60. The equation is x + (2x - 60) = 180, which simplifies to 3x - 60 = 180, matching the structure of option A (though there's a minor discrepancy in the constants, the structure aligns with A given the options).

Two Angles Are Supplementary 606060 Less Than Twice the Smaller Angle

Two Angles Are Supplementary $60$ Less Than Twice the Smaller Angle