Question 199253
if the degree measures of two complementary angles are in ratio of 5:18
 what is the measure of the smaller angle?
:
Let x = the smaller angle
then
(90-x) = the larger angle
:
Write a ratio equation
{{{5/18}}} = {{{x/((90-x))}}}
cross multiply
18x = 5(90-x)
:
18x = 450 - 5x
18x + 5x = 450
23x = 450
x = {{{450/23}}}
x = 19.565 degrees, the smaller angle