SOLUTION: two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the firs
Algebra.Com
Question 200679: two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the first angle.
Found 2 solutions by nerdybill, MathTherapy:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
two angles are complementary if the sum of their measures 90 degrees. Themeasure of the first angle is 5 degrees less than 4 times the second angle. What is the measure of the first angle.
.
Let x = second angle
then
4x-5 = first angle
.
x + 4x-5 = 90
x + 4x = 95
5x = 90
x = 18 degrees (second angle)
.
First angle:
4x-5 = 4(18)-5 = 72-5 = 67 degrees (first angle)
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Let the second angle be s, then the first angle is 4s – 5
Therefore, s + 4s – 5 = 90
5s – 5 = 90
5s = 95
s = 19
Since the second angle or s equals 19, the first angle is 4(19) – 5 = .
RELATED QUESTIONS
Two angles are complementary if the sum of their measures is 90 degrees. Find two... (answered by macston)
Two angles are complementary if their sum is 90 degrees. If one angle measures x degrees, (answered by Alan3354)
Recall that two angles are complementary if the sum of
Their measures is 90 degrees.... (answered by josmiceli)
Two angles are complementary if their sum is 90 degrees. If two complementary angles have (answered by drj)
Two angles are complementary if the sum of the measures of their angles is 90 degrees.... (answered by solver91311)
Can someone please help me with this question.
Two angles are complementary if the... (answered by stanbon)
Two angles are complementary if the sum of their measures is 90 degrees. The measure of... (answered by macston)
Recall that two angles are complementary if the sum of their measures 90 degrees. Find... (answered by mananth)
Two angles are complementary if their sum is 90 degrees. If one angle measures x,... (answered by stanbon,FrankM)