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Question
determine if the conditional statement below is true or false. if false, which is a valid counterexample? if an angle is acute, then it has a measure of 45 degrees. answer attempt 1 out of 3 true false, acute angles are less than 90 degrees false, acute angles are more than 90 degrees false, 35 is acute but doesnt equal 45
Step1: Recall definition of acute angle
An acute - angle is defined as an angle whose measure is less than 90 degrees.
Step2: Analyze the conditional statement
The statement "If an angle is acute, then it has a measure of 45 degrees" is false because not all acute angles have a measure of 45 degrees. An acute angle can have any measure between 0 and 90 degrees. For example, an angle of 35 degrees is acute but not 45 degrees.
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False, 35 is acute but doesn't equal 45