SOLUTION: Two angles are complementary if the sum of their measures is 90°. The measure of the first angle is 5° less than 4 times the second angle. Find the measure of the FIRST angle.

Algebra.Com
Question 208017: Two angles are complementary if the sum of their measures is 90°. The measure of the first angle is 5° less than 4 times the second angle. Find the measure of the FIRST angle.
Answer by rapaljer(4671)   (Show Source): You can put this solution on YOUR website!
Let x = second angle
4x-5 = first angle

x + 4x-5 = 90
5x-5 = 90
5x=95
x=19 Second angle

4x-5 = First angle
4(19) - 5=76-5 = 71 = First angle

Check:
19+71=90

R^2

RELATED QUESTIONS

two angles are complementary if the sum of their measures 90 degrees. Themeasure of the... (answered by nerdybill,MathTherapy)
Two angles are complementary if the sum of their measures is 90°. The measure of the... (answered by rfer)
Two angles are complementary if the sum of the measures 90. The measure of the first... (answered by Boreal)
Two angles are complementary if the sum of the measures of their angles is 90 degrees.... (answered by solver91311)
Two angles are complementary if the sum of their measures is 90. the measure of the first (answered by stanbon,rfer)
Two angles are complementry if the sum of their measures is 90*. The measure of the first (answered by ewatrrr)
Two angles are complementary if the sum of their measures is 90°. Find two complementary... (answered by josgarithmetic)
Two angles are complementary. The measure of the larger angle is 5° more than sixteen... (answered by checkley79)
Two angles are complementary if the sum of their measures is 90 degrees. The measure of... (answered by macston)