nm standards gt.a.7. example 5-1a determine which lines, if any, are parallel. consecutive interior...

NM Standards GT.A.7

Determine which lines, if any, are parallel.

consecutive interior angles are supplementary. So,

consecutive interior angles are not supplementary. So, c is not parallel to a or b.Answer:

Determine which lines, if any, are parallel.

Answer: f Answer: f || g|| g

ALGEBRA Find x and mZYN so that

Explore From the figure, you know that and You also know that

are alternate exterior angles.

Alternate exterior angles

Subtract 7x from each side.

Substitution

Add 25 to each side.

Divide each side by 4.

Solve

Plan For line PQ to be parallel to MN, the alternate exterior angles must be congruent. Substitute the given angle measures into this equation and solve for x. Once you know the value of x, use substitution to find

Answer:

Original equation

Simplify.

Examine Verify the angle measure by using the value of x to find

Since

ALGEBRA Find x and mGBA so that

Answer:x = 9, Angle = 60°

Answer:

Answer:No, the slopes are not the same

More TheoremsMore Theorems

Postulate (Rule)Postulate (Rule)

If two lines in a plane are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel.

Postulate (Rule)Postulate (Rule)If given line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line.

B

There are many lines that can be drawn through Point B, but only one that is parallel to line m

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