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MainlyCold
This is false.
Complement equals to 90° and Supplementary equals to 180°.
Since you given angle is acute its other angle must be small than 90.
Let's say your acute angle is 35°.
Your other angle would equal 55°.

On the other hand if it was Supplementary then:
Let still use the 35° example.
35°+55° would not be Supplementary. It would have to be larger like 125°.
abidemiokin

FALSE. If an angle is acute, the complement must always be less than the measure of its supplement, which falsifies the given statement.

The sum of the complement of an angle is 90degrees while the sum of the supplement of an angle is 180degrees.

Since an acute angle is always less than 90 degrees, we can assume the acute angle to be 45degrees.

Let the complement of the angle be x, hence;

x + 45 = 90 (complement)

x = 90 - 45

x = 45 degrees (complement of the acute angle)

Let the supplement of the acute angle be y

y + 45 = 180 (for supplement)

y = 180 - 45

y = 135 (supplement of the acute angle)

From the calculation, we can see that the complement is less than the measure of its supplement, which falsifies the given statement.

Learn more here: https://brainly.com/question/9143526

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