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Properties of Parallel Lines and Transversals

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Properties of Parallel Lines and Transversals

Find the missing angles in the diagram and give reasons for your calculations

using vocabulary terms.

*These images are at the bottom of yesterday’s note sheet.

- Supplementary angle
- Complementary angle
- Vertical angles
- Adjacent angles
- Angle bisector
- Vertical angles
- Adjacent Angles
- Yes- they from the “x” across from each other
- Yes- tick marks (shows congruence)
- a) x = 5 <WXY = 28 b) <YXZ = 28 c) <WXZ = 56

- X = 9 <PQS = 54
- X = 14<PQS = 50
- Pictures will vary

- Use the diagram at the right to determine x and y given that AB and CD are straight lines.
- Name a pair of vertical angles.
- Find the measure of <BOF. Justify your calculation.

Today you will understand that when parallel lines are cut by a transversal, angle pairs are congruent or supplementary.

- Vocabulary note sheet
- Yesterday’s note sheet
- Last night’s homework
- Pencil

If m1 = 100, what are the measures of 2 through 8?

m2 =

m3 =

m4 =

m5 =

m6 =

m7 =

m8 =

- <1 = 1372. m<1 = 45 (same side interior angles)
<2 = 43m<2 = 135 (supplementary angles/linear pair

<3 = 137

<4 = 1373. m<1 = 65 (supplementary/linear pair)

<5 = 43m<2 = 115 (corresponding angles)

<6 = 43

<7 = 1374. m<1 = 105

same side interior angles

- In the diagram, bisects WXZ.
a. Solve for x and find mWXY.

b. Find mYXZ.

c. Find mWXZ.