SOLUTION: The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

SOLUTION: The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?

Algebra.Com

Question 1016153: The measures of two complementary angles are in the ratio 4:1. What is the measure of the smaller angle?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
S=smaller angle; L=larger angle=4S
.
S+L=90
S+4S=90
5S=90
S=18
.
ANSWER: The measure of the smaller angle is 18 degrees.
.
CHECK:
.
L=4S=4(18)=72
.
L+S=90
72+18=90
90=90
.

RELATED QUESTIONS
the measures of two complementary angles are in the ratio 4:1. what is the measure of the (answered by stanbon,checkley77)

the measures of two complementary angles are in the ratio 4:1. What is the measue of the... (answered by nerdybill)

Two complementary angles have measures in the ratio 5:4. What is the measure of the... (answered by rfer)

The ratio of the measures of two complementary angles is 1:2. What is the measure of the... (answered by rfer)

The measures of two complementary angles are in the ratio 2:3. What is the measure of the (answered by Theo)

If the measure of two complementary angles are in the ratio 4:1 what is the smaller... (answered by rapaljer)

I need help with this problem: The measure of two complementary angles are in the ratio... (answered by oberobic,stanbon)

two complementary angles are in the ratio 4:11. find the measure of the smaller... (answered by erica65404,stanbon)

if the degree measures of two complementary angles are in the ratio of 2 to 13 , then... (answered by Alan3354)