SOLUTION: if two angles are complementary and one angle measures 4x + 3 and the other measures 2x + 21, find the measure of an angle

Algebra ->  Angles -> SOLUTION: if two angles are complementary and one angle measures 4x + 3 and the other measures 2x + 21, find the measure of an angle      Log On


   

Question 346762: if two angles are complementary and one angle measures 4x + 3 and the other measures 2x + 21, find the measure of an angle
Found 2 solutions by Fombitz, Chandni:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A and B be the complementary angles.
A=4x%2B3
B=2x%2B21
By definition,
A%2BB=90
4x%2B3%2B2x%2B21=90
6x%2B24=90
Solve for x.
Then go back and substitute to find A and B.

Answer by Chandni(2) About Me  (Show Source):
You can put this solution on YOUR website!
Complementary means=90
Let angle A=4x+3
Let angle B=2x+21
From A+B=90
Substitute the values
(4x+3)+ (2x+21)=90
Collect like terms
4x+2x+3+21=90
6x+24=90
6x=90-24
6x=66
x=66/6
x=11
If x=11, 4(11)+3=44+3=47
2(11)+21=22+21=43
Check:A+B=90
47+43=90
Therefore; the measure of the angles are 47 and 43 respectively.