Jamar draws three pairs of parallel lines that are each intersection by the third line.in each figure, he measures a pair of same-side interior angles. What is a reasonable conjecture for Jamar to make by recognizing a pattern and using inductive reasoning?
Answers
Given : Jamar draws three pairs of parallel lines that are each intersection by the third line.in each figure, he measures a pair of same-side interior angles.
To Find : What is a reasonable conjecture for Jamar to make by recognizing a pattern and using inductive reasoning?
Solution:
Jamar draws three pairs of parallel lines that are each intersection by the third line
He measures a pair of same-side interior angles.
sum of Measure of same-side interior angles. = 180°
a reasonable conjecture for Jamar to make by recognizing a pattern and using inductive reasoning
is that Interior angles formed by transversal line with two parallel lines are supplementary ( adds up to 180°)
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Interior angles are supplementary. ( adds up to 180°)
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