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skelet666 [1.2K]
2 years ago
8

Which statement is true about this argument? Premises: If a triangle has an angle that measures 150°, then it is an obtuse trian

gle. △JKL is an obtuse triangle. Conclusion: △JKL has an angle that measures 150°.
A) The argument is not valid because the premises are not true.

B) The argument is valid by the law of syllogism.

C) The argument is not valid because the conclusion does not follow from the premises.

D) The argument is valid by the law of detachment.
Mathematics
2 answers:
trasher [3.6K]2 years ago
7 0
C the argument is not valid because not all obtuse triangle have 150 degrees angles, just sometimes that happens
jasenka [17]2 years ago
3 0

The answer is C).

The conclusion is not true.

The problem shows an incorrect use of the law of detachment.

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3 years ago
M∠Q = <br> m∠R = <br> m∠S = <br><br> 40 POINTS!!!!!!!
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9514 1404 393

Answer:

  ∠Q = 89°

  ∠R = 123°

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Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

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The total of the arcs around the circle is 360°, so ...

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  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

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  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°

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