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Digiron [165]
4 years ago
7

PQ and RS are two lines that intersect at point T, as shown below:

Mathematics
1 answer:
Setler79 [48]4 years ago
3 0
Our approach to answering this question is to eliminate the choices until we are left with only one. 

(1) FALSE. The given figures are lines and can extend indefinitely.
(2) FALSE. The lines are not given to intersect in right angles. 
(3) TRUE. The angles are vertical (which means that they line in opposite side of the intersection.
(4) FALSE. The angles are not supplementary because the lines are vertical. They can only be supplementary if both are right angles. 
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Igoryamba
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well. 

<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
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C

Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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