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14 May, 18:24

Premises: If a triangle has an angle with a measure more than 90°, then the triangle is an obtuse triangle. The measure of an angle in △ABC is 110°. Conclusion: △ABC is an obtuse triangle. Is this law of syllogism or law of detachment?

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  1. 14 May, 21:48
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    we know that

    Law of detachment is used when you have a conditional statement and another statement that matches the hypothesis of the conditional.

    Law of syllogism is used when you have two conditionals and the hypothesis of one matches the conclusion of the other

    in this problem we have the law of detachment

    the conditional statement is

    If a triangle has an angle with a measure more than 90°

    the another statement that matches the hypothesis of the conditional

    then the triangle is an obtuse triangle

    therefore

    the answer is

    the law of detachment
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