In figure, is line I parallel to m? Justify your answer.

Solution

We see that
142° + 38° = 180°, i.e., the sum of the consecutive interior angles on the same side of
the transversal m is 180°.
So, by converse of consecutive interior angles axiom,
l || m

Some More Questions From Lines and Angles Chapter

In figure, lines PQ and RS intersect each other at point O. If ∠POR : ∠ROQ = 5 : 7, find all the angles.

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Lines And Angles

In figure, is line I parallel to m? Justify your answer.

Some More Questions From Lines and Angles Chapter

In figure, lines PQ and RS intersect each other at point O. If ∠POR : ∠ROQ = 5 : 7, find all the angles.

In figure, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ, respectively. If ∠POS = x, find ∠ROT.

If the complement of an angle is one-third of its supplement, find the angle.

In figure, find the value of x.

In figure, if ∠POR and ∠QOR form a linear pair and a - b = 80° then find the value of a and b.

What value of x would make XOY a line if ∠XOZ = 7x + 20° and ∠YOZ = 3x in figure.

Two supplementary angles are in the ratio 4 : 5. Find the angles.

In figure, lines AB and CD intersect at O. If ∠AOD : ∠DOC = 4 : 5 then find ∠COB.

An angle is equal to five times of its complement. Find the measure of the angle.

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