First, write an equation system based on the problem We could write "two angels are complementary" as ⇒ a + b = 90° (1st equation) We could write "<span>the measure of one angle is 6° more than one-half of the measure of the other" as </span>⇒ a = 6° + b (2nd equation) <span> Second, solve the equation system by substituting a from the second equation to the first equation a + b = 90</span>° 6° + b + b = 90° 6° + b = 90° b = 84° b = 84° × b = 56°
Substitute the measurement of b a + b = 90° a + 56° = 90° a = 90° - 56° a = 34°
Complementary angles total 90° One angle is 6 + .5x, so both angles added together is First, we add one angle to the other, and set it to 90°. Then, we simplify the equation. Then, we subtract 6 from both sides. Then we divide both sides by 1.5 The first angle is 56° The second angle is 90 - 56, which is 34°