Two parallel lines were cut by a transversal. Which of the following
scenarios is NOT a possible result?
1 point
a pair of same side interior angles with measures of 65 and 115°
a pair of alternate exterior angles with measures of 130 and 50°
a pair of supplementary angles with measures of 110' and 70°
a pair of corresponding angles with measures of 40° and 40°
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Two parallel lines were cut by a transversal Which of the following scenarios is NOT a possible result 1 point a pair of same side interior angles with measures class=

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Answer:

B. a pair of alternate exterior angles with measures of 130° and 50°

Step-by-step explanation:

Alternate exterior angles formed when two parallel lines are cut across by the same transversal line, are said to be congruent.

Therefore, a pair of alternate exterior angles cannot have different angle measures of 130° and 50°. Rather, both alternate exterior angles should be of equal measure of degree.

All other scenarios are possible result except option B: "a pair of alternate exterior angles with measures of 130° and 50°".

Option B is correct. "A pair of alternate exterior angles with measures 130 and 50degrees".

If two lines are cut by a transversal, line geometry is formed.

The following angles are formed by the transversal;

  • alternate interior and exterior angle
  • supplementary angles (sums up to 180degrees)
  • pair of corresponding angles
  • pair of vertically opposite angles (from intersection of two lines that formed X)

Note that alternate exterior angles are obtuse angles (greater than 90 degrees). This statement falsifies the second option which says that "a pair of alternate exterior angles with measures 130 and 50degrees. 50 degrees" is an acute angle not obtuse.

 

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