Problema Solution
(41) complementary
the sum of the measures of two complementary angles is 90%. if one anglemeasures 15% more than twice the measure of its complement. find the measure of each angle.
(42) two angles are complementary. (see exercise 41) the measure of one angle is 1 1/2 times the measure of the other. find the measure of each angle.
Answer provided by our tutors
41.
degrees
Then from eq. 1,
degrees
42.Complimentary ---- x + y = 90 degrees
Now also, x = 1.5 y
So the two equations gives you :
1.5y + y = 9
2.5 y = 90
y = 90/2.5 = 36 degrees
x = 1.5y = 54 degrees