Question 175387: An angle is 25 degrees LESS than the measure of its complement. What is the measure of the SMALLER angle? Found 2 solutions by Mathtut, gonzo:Answer by Mathtut(3670) (Show Source):
You can put this solution on YOUR website! complemetary means 2 angles, when added together equal 90 degrees
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let a and be be the complementary angles so a+b=90 ....let b=a-25....so plug b's value into the equation a+b=90
:
a+a-25=90
2a=115
:
so
:
check
57.5+32.5=90 and 57.5-32.5=25
You can put this solution on YOUR website! let x = the angle.
90 - x = the complement.
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the angle is 25 degrees less than the measure of its complement.
x = 90 - x - 25
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solve for x:
x = 90 - x - 25
add x to both sides of equation to get:
2x = 90 - 25 = 65
divide both sides by 2 to get:
x = 32.5
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confirm this answer is good.
x = 90 - x - 25
32.5 = 90 - 32.5 - 25
32.5 = 90 - 57.5
32.5 = 32.5
answer is confirmed.
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complement to the angle is 90 - 32.5 = 57.5
angle = 32.5 degrees
complement = 57.5 degrees
angle is smaller
answer is:
measure of the smaller angle is 32.5 degrees
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