Corresponding Angles Postulate If a transversal intersects 2
- Slides: 31
Corresponding Angles Postulate If a transversal intersects 2 || lines, then corresponding s are .
Solve for “x”.
4 x = 48 x = 12
Alternate Interior Angles Theorem
Alternate Interior Angles Theorem
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 two angles.
5 x – 54 = 3 x + 16 2 x = 70 x = 35 Each is 121 o.
Alternate Exterior Angles Theorem
Alternate Exterior Angles Theorem
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 These angles aren’t .
Same-Side Interior Angles Theorem
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 + 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.
a= o 70 … Why?
Since a = 70 o, e = 70 o … Why?
b= o 45 … Why?
Since b = 45 o, d = 45 o … Why?
Since d = 45 o and e = 70 o, c = 65 o … Why?
Since f = o 130 … Why?
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 o o 45
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, same-side interior angles are supplementary.
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