Corresponding Angles Postulate If a transversal intersects 2

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Corresponding Angles Postulate If a transversal intersects 2 || lines, then corresponding s are

Corresponding Angles Postulate If a transversal intersects 2 || lines, then corresponding s are .

Solve for “x”.

Solve for “x”.

4 x = 48 x = 12

4 x = 48 x = 12

Alternate Interior Angles Theorem

Alternate Interior Angles Theorem

Alternate Interior Angles Theorem

Alternate Interior Angles Theorem

Alternate Interior Angles Theorem If a transversal intersects 2 || lines, then alternate interior

Alternate Interior Angles Theorem If a transversal intersects 2 || lines, then alternate interior s are .

In the picture a || b. Solve for x. Find the measure of the

In the picture a || b. Solve for x. Find the measure of the two angles.

5 x – 54 = 3 x + 16 2 x = 70 x

5 x – 54 = 3 x + 16 2 x = 70 x = 35 Each is 121 o.

Alternate Exterior Angles Theorem

Alternate Exterior Angles Theorem

Alternate Exterior Angles Theorem

Alternate Exterior Angles Theorem

While it’s good to know the names of the angles, the most important thing

While it’s good to know the names of the angles, the most important thing is that when lines are parallel, angles that look alike are congruent.

Same-Side Interior Angles Theorem

Same-Side Interior Angles Theorem

Same-Side Interior Angles Theorem These angles aren’t .

Same-Side Interior Angles Theorem These angles aren’t .

Same-Side Interior Angles Theorem

Same-Side Interior Angles Theorem

Assuming the lines are parallel, solve for “x” and find the measures of the

Assuming the lines are parallel, solve for “x” and find the measures of the two angles.

3 x + 40 + 2 x + 60 = 180 5 x +

3 x + 40 + 2 x + 60 = 180 5 x + 100 = 180 5 x = 80 x = 16 3 x + 40 88 o 2 x + 60 92 o

Find the measure of every labeled angle in the picture.

Find the measure of every labeled angle in the picture.

a= o 70 … Why?

a= o 70 … Why?

Since a = 70 o, e = 70 o … Why?

Since a = 70 o, e = 70 o … Why?

b= o 45 … Why?

b= o 45 … Why?

Since b = 45 o, d = 45 o … Why?

Since b = 45 o, d = 45 o … Why?

Since d = 45 o and e = 70 o, c = 65 o

Since d = 45 o and e = 70 o, c = 65 o … Why?

Since f = o 130 … Why?

Since f = o 130 … Why?

Assuming the lines are parallel, what information can you determine from this picture?

Assuming the lines are parallel, what information can you determine from this picture?

 2, 3, and 6 are all 1, 5, and 8 are all 135

2, 3, and 6 are all 1, 5, and 8 are all 135 o o 45

5 x + 35 = 135 … so x = 20

5 x + 35 = 135 … so x = 20

If lines are parallel, corresponding, alternate interior, and alternate exterior angles are all congruent.

If lines are parallel, corresponding, alternate interior, and alternate exterior angles are all congruent.

If lines are parallel, same-side interior angles are supplementary.

If lines are parallel, same-side interior angles are supplementary.