227k views
4 votes
Parallel Lines + Transversals ~missing angle mazer

Parallel Lines + Transversals ~missing angle mazer-example-1
User Ashey
by
8.4k points

1 Answer

6 votes

Answer:

see explanation

Explanation:

I'm happy to get you started, but I won't give you all of the answers.

Keep the following in mind (ONLY for parallel lines cut by transversal)...

These angle pairs are Congruent (equal):

Alternate Interior - on opposite sides of transversal but between the parallel lines (figure in Start box)

Alternate Exterior - opposite sides of transversal and outside of the parallel lines (see figure in bottom row, far left)

Corresponding - looks like the same location but "slid" up or down the transversal (see top row, 2nd box)

Vertical angles - on opposite sides of X created by just 2 intersecting lines (row 3, box 1)

These angle pairs are Supplementary (add up to 180°):

Same Side Interior - on same side of transversal and between the parallel lines (like box 3 in row 3)

Same Side Exterior - same side of transversal but outside of the parallel lines (row 2, box 1)

Linear Pairs - on same side of same line, sharing a side (none in this pic)

The answer in the Start box is x=141, so go to the left.

That box is x=39, so go down.

I hope this helps!!

User GrecKo
by
8.8k points