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Which condition will guarantee that l || m?O <1 corresponds <3O <6 corresponds <1O m<7+ m<8= 180°O m<7 + m<2= 180°

Which Condition Will Guarantee That L MO Lt1 Corresponds Lt3O Lt6 Corresponds Lt1O Mlt7 Mlt8 180O Mlt7 Mlt2 180 class=

Sagot :

From the solutions, 3 of the options will guarantee l is parallel to m.

option A, C and D.

Explanation:

The conditions that guarantee lines are parallel:

corresponding angles, alternate angles, supplementary angles.

We check the options for any of this:

a) angle 1 congruent to angle 3.

These angles are vertical angles and the y are equal. they are congruent

b) angle 6 congruent to angle 1

these angles are not congruent as they are not equal to one another

c) angle 7 + angle 8 = 180

Both angles are on a straight line. Hence, they are supplementary angles.

d) angle 7 + angle 2 = 180

angle 2 = angle =6. They are corresponding angles

angle 6 + angle 7 = 180 degrees (sum of angles on a straight line). Hence, they are supplementary angles.

From the solutions, 3 of the options will guarantee l is parallel to m.

option A, C and D.

The option which directly guarantee is option C

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