SOLUTION: One of two supplementary angles is 4 times as large as the other. What is the complement of the smaller angle?
Algebra.Com
Question 34763: One of two supplementary angles is 4 times as large as the other. What is the complement of the smaller angle?
Answer by Paul(988) (Show Source): You can put this solution on YOUR website!
The supplement of an angle is 180-x
THe complement of an angle is 90-x
Equation:
4(90-x)=180-x
-3x=-180
x=60
Hence, the complement of the smaller angle is 90-60=30 degrees.
Paul.
RELATED QUESTIONS
One of two supplementary angles is 44 times as large as the other. Find the measure of... (answered by mananth)
one of two supplementary angles is five times as large as the other. find the measure of... (answered by ewatrrr)
Two angles are supplementary. Thier combined measures equal 180 degrees. One angle is... (answered by stanbon)
find the measure of two supplementary angles such that one angle is four fifths as large... (answered by MathLover1)
please help me to solve this word problem!! One of two supplementary angles is 5 times as (answered by Alan3354)
if 2 angles are supplementary and one angle is twice as large and the other, find the... (answered by algebrahouse.com)
two angles are supplementary. the larger angle has measure three times as great as the... (answered by ewatrrr)
two angles are supplementary. the measure of one angle is twice as large as the measure... (answered by alicealc)
Two angles are supplementary. The measure of one angle is twice as large as the measure... (answered by lwsshak3)