SOLUTION: Two angle are complementary and the measure of the smaller angle is 50° less than the measure of the larger. Find the measure of the larger angle
x degrees the larger
(x-50) degrees the smaller.
Their sum must be 90 degrees
x + (x-50) = 90
2x = 90 + 50 = 140 degrees
x = 140/2 = 70 degrees.
ANSWER. The larger angle is 70 degrees.