Lines L and M are parallel. Find m< 3

m∠3 = 142°

Solution:

Line l and m are parallel.

Sum of the adjacent angles in a straight line is 180°.

⇒ 38° + m∠1 = 180°

⇒ m∠1 = 180° – 38°

⇒ m∠1 = 142°

∠1 and ∠3 are corresponding angles.

If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.

⇒ ∠1 ≅ ∠3

⇒ m∠1 = m∠3

⇒ m∠3 = 142°

Therefore m∠3 = 142°.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

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

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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