Jamar draws three pairs of parallel lines that are each intersected by a third line. In each figure, he measures a pair of angles.

What is a reasonable conjecture for Jamar to make by recognizing a pattern and using inductive reasoning?

When a pair of parallel lines are intersected by a third line, the same-side interior angles are acute.

When a pair of parallel lines are intersected by a third line, the same-side interior angles are supplementary.

When a pair of parallel lines are intersected by a third line, all of the angles formed are supplementary.

When a pair of parallel lines are intersected by a third line, all of the angles formed are acute.

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14 March, 22:04

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Randy Kane · Answer 1

1 is not true generally, while 3 and 4 are never true. 2 is the only generally true conjecture.