SOLUTION: An angle measures 6° less than the measure of its complementary angle. What is the measure of each angle?
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Question 1198663: An angle measures 6° less than the measure of its complementary angle. What is the measure of each angle?
Found 3 solutions by josgarithmetic, MathLover1, math_tutor2020:
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
m, the measure of this angle
-----------the description.
Solve.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
complementary angles are two angles whose sum is °
let one angle be and the other
if an angle measures ° less than the measure of its complementary angle
substitute in
then
one angle measures ° and the measure of its complementary angle is
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
x = some unknown angle
90-x = the complementary angle of x
Take notice how the two angles add to 90.
If the angle x is 6 degrees less than the complement 90-x, then,
x = (90-x) - 6
x = 90-6-x
x = 84-x
x+x = 84
2x = 84
x = 84/2
x = 42
90-x = 90-42 = 48
We can see that the angle 42 degrees is indeed 6 degrees smaller than its complement 48 degrees (48-6 = 42)
As a check:
42+48 = 90
showing they are complementary angles
Answers: 42 degrees and 48 degrees
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