Letters a, b, c, and d are angle measures.Lines f and g are intersected by line n. At the intersection

4 answers
Question:

Letters a, b, c, and d are angle measures. Lines f and g are intersected by line n. At the intersection of lines n and g, clockwise from the top, the angles are: a, 75 degrees, blank, b. At the intersection of lines n and f, clockwise from the top, the angles are blank, blank, d, c.
Which should equal 105° to prove that f ∥ g?
a
b
c
d

[tex]Letters a, b, c, and d are angle measures. Lines f and g are intersected by line n. At the inters[/tex]


Answers

It would be B!

Step-by-step explanation:

180-105 is 75. The otherside of the angle that is 75  is the ansewr, but sinc they dont bmention the other side of that angle  you got to pick the angle that is equivalent to it, which is angle B  

D

Step-by-step explanation:

75 degrees is supplementary with 105 degrees, which would mean that A is 105 degrees. If D were equal to 105 degrees, C would equal 75 degrees.. the rest is self explanatory!

Hope that helped :)

the answer is c

Step-by-step explanation:

corresponding angles, because of congruent lines

∠a = 105°

Step-by-step explanation:

If a set of 2 parallel lines, line f and line g, are intersected by another line n,  then at each of the parallel lines, then at each of the parallel lines adjacent angles are supplementary (i.e their sum is equal to 180° as shown in fig 1

Following this rule, comparing fig 2 with fig 1

                  [tex]\implies a = 180 -75\\\implies a =105[/tex]

If f and g are parallel then ∠a must be equal to ∠d

                   [tex]\implies \angle a = \angle d =105^{o}[/tex]


[tex]Letters a, b, c, and d are angle measures. lines f and g are intersected by line n. at the intersect[/tex]
[tex]Letters a, b, c, and d are angle measures. lines f and g are intersected by line n. at the intersect[/tex]

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