41Supplementary angles equation
Two angles are supplementary. One measures 24° more than twice the other. What is the measure of the larger angle? A) 52° B) 76° C) 104° D) 128°
The larger angle is 128°, choice D. Setting the smaller angle as x, the equation x + (2x + 24) = 180 gives x = 52, so the other angle is 2(52) + 24 = 128. Check: 52 + 128 = 180.