SOLUTION: two complementary angles are in the ratio 4:11. find the measure of the smaller angle

Question 804776: two complementary angles are in the ratio 4:11. find the measure of the smaller angle
Found 2 solutions by erica65404, stanbon:
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!
complementary angles add up to 90 degrees.
the ratio is 4:11.
There are a total of 15 ratio points. we want to find out how many degrees each point is worth.
we take 90 degrees and divide by 15 and we get 6.
we multiply the ratio 4:11 by 6.
24:66
24 and 66 are the degrees of the angles.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
two complementary angles are in the ratio 4:11. find the measure of the smaller angle
-----
angle:: x
complement:: 90-x
--------
Equation:
x/(90-x) = 4/11
---------
11x = 4(90-x)
11x = 360-4x
15x = 360
x = 24 degrees
90-x = 66 degrees
=====================
Cheers,
Stan H.
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 measure of the (answered by macston)
the measurements of two complementary angles are in the ratio 2:13.Find the measure of... (answered by stanbon)
The measurements of two complementary angles are in a ratio of 8:7. Find the measure of... (answered by cleomenius)
The measures of two angles are in the ratio 4:5. The larger of the two angles is 60 less... (answered by lwsshak3)
Two complementary angles are in the ratio of 1:4. Find the meaure of the smaller... (answered by checkley77)
I need help with this problem: The measure of two complementary angles are in the ratio... (answered by oberobic,stanbon)
Two complementary angles have measures in the ratio 5:4. What is the measure of the... (answered by rfer)
If the measure of two complementary angles are in the ratio 4:1 what is the smaller... (answered by rapaljer)