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

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) (Show Source): You can put this solution on YOUR website!
Let and be the complementary angles.

By definition,

Solve for .
Then go back and substitute to find and .

Answer by Chandni(2) (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.
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