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Dennis_Churaev [7]
2 years ago
12

A ______ has numbered statements and corresponding reasons that shows an argument in a logic order.

Mathematics
1 answer:
ryzh [129]2 years ago
3 0

A <u>logical argument</u> has numbered statements and corresponding reasons that shows an argument in a logic order.

Step-by-step explanation:

Logical argument refers to the process of providing structured statements along with logical reasons to bring the argument to a conclusive end. The successive statements are logically related and this is the distinguishing factor which distinguishes a logical argument from another structured argument.

A logical argument is often thought of as a scientific manner of presenting any argument. It consists of three subparts. These include—

  • Proposition- Here the argument is initiated. It can be considered equivalent to a hypothesis.  
  • Premise- This includes evidence that is presented in support of the proposition.
  • Inference- This refers to the conclusion part.

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Let us observe the given figure,

When two lines intersect each other, the angles opposite to each other are Vertically Opposite Angles. Vertically opposite angles are always equal in measure.

As, we can observe that the given lines intersect each other, and they form vertically opposite angles as \angle POR , \angle SOQ and  \angle POS , \angle ROQ

Therefore, \angle POR = \angle SOQ

Substituting the given measures of the angles, we get

91-x^\circ = x+ 7^\circ

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x = \frac{84}{2}

So, x = 42^\circ

Since, the measure of angle POR = (91-x)^\circ

= (91-42)^\circ

= 49^\circ

Therefore, the measure of angle POR is 49 degrees.

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