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parallel lines, transversals

Parallel Lines Transversals class=

Sagot :

Answer:

I’m not exactly sure what your trying to find but I’ll list all possible answers

So you have parralel lines cut by a transversal.

Following this we know that

Alternate interior are congruent (equal)

Alternate exterior are congruent

Same side interior is supplementary (adds up to 180)

Same side exterior is supplementary

Corresponding angles are congruent

We are given 4 different choices of answers?

So we can either be asked to find “x”, “y”, the value of any given angle and or the unknown.

So lets solve for x

(29x-3) and (15x+7) are same side exterior so they are supplementary

When solves

29x-3+15x+7=180

So if solved you can get the final equation of

44x+4=180

Now solve

176=44x

x=4

SO x = 4

If you were to try and solve  for y

29x-3 is alternate exterior to 13y-17

We alreaxy know x is 4 so we can plug it in

29*4= 116

So 116-3 is 113

113= 13y-17

Solve for y

130 = 13y

y=10

SO y =10

If you were to solve just plug in variable for diffevent angles