The sum of the measures of two complementary angles is 90°. If one angle measures 18° more than twice the measure of the other, what is the measure of the smaller?
1 Answer
Sep 23, 2016
The measure of the smaller angle is
Explanation:
Let
Let
One angle, we'll call it
The sum of complementary angles is
Substituting for
Combining like terms and subtracting 18 from both sides...
Dividing both sides by 3...
The smaller of the two angles measures 24 degrees.