2. Parallel lines rand s are cut by two transversals, parallel lines tand u.

Which angles are alternate interior angles with angle 3?
C 25 and 213
C 27 and 215
26 and 216
28 and 214

Option A: ∠5 and ∠13 are alternate interior angles with angle 3.

Solution:

To find which angles are alternate interior angles with angle 3:

Option A: ∠5 and ∠13

If t and u are parallels, then r is a transversal.

3 and 13 are alternate interior angles.

If r and s are parallels, then t is a transversal.

3 and 5 are alternate interior angles.

Therefore ∠5 and ∠13 are alternate interior angles with angle 3.

Hence it is true.

Option B: ∠7 and ∠15

∠7 is a corresponding angle of ∠3 on the same side of the transversal.

∠15 is a corresponding angle of ∠3 on the same side of the transversal.

So, ∠7 and ∠15 are not alternate interior angles with angle 3.

Hence it is not true.

Option C: ∠6 and ∠16

∠6 is an alternate exterior angle of ∠3.

∠16 is an alternate exterior angle of ∠3.

So, ∠6 and ∠16 are not alternate interior angles with angle 3.

Hence it is not true.

Option D: ∠8 and ∠14

∠8 is an interior angle on the same side.

∠14 is an interior angle on the same side.

So, ∠8 and ∠14 are not alternate interior angles with angle 3.

Hence it is not true.

Therefore ∠5 and ∠13 are alternate interior angles with angle 3.

Option A is the correct answer.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

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