SOLUTION: One of two complementary angles is 18º less than the other. What is the measure of the smaller angle?

Algebra.Com
Question 1165019: One of two complementary angles is 18º less than the other. What is the measure of the smaller angle?
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

a+b = 90
a = b-18 ; a < b
re-writing 2nd eq:
b = a+18
now sub for 'b' in the 1st eq.:
a+(a+18) = 90
Solve for a: a = 36 degrees

RELATED QUESTIONS

The measure of one of two complementary angles is 6 degrees less than one half the... (answered by jhunjiro)
Two angles are complementary. The smaller angle is 15°less than one-half the measure of... (answered by fractalier)
The measure of one of two complementary angles is 6 degrees less than one half the... (answered by rfer)
Two angles are complementary. The larger angle measures three degrees less than twice the (answered by rfer)
two angles are complementary. one angle is 10degr. less than 9 times the other. find the... (answered by rmromero)
two angles are complementary. one angle is 3 degrees less than twice the other. find the... (answered by checkley77)
two angles are complementary one angle has a measure that is twice the other angle what... (answered by checkley71)
Two angles are complementary. One angle has a measure that is twice the other angle. What (answered by rfer)
Two angles are complementary. The measure of one angle is 10 less than nine times the... (answered by friesr)