If l and m are parallel, which pairs of angles are supplementary?
1 and 2
3 and 7
6 and 7
1 and 6
Answer:
3 and 7
Step-by-step explanation:
3 and 7 are supplementary because they lie on the straight line. The straight line indicates that if you were to combine the measure of the two angles, they would add up to 180 degrees
The pairs of angles which are supplementary, are
1 and 2, and
3 and 7
The supplementary angles are those angles that sum up to 180 degrees.
The sum of all the angles on one side of a straight line is always 180 degrees.
According to the given question
We have, two parallel lines l and m
Now, according to the given figure
The pairs of angles which are supplementary are
m∠ 1 + m∠5 = 180
m∠2 + ∠6 = 180
m∠3 + m∠7 = 180
m∠ 8 + m∠4 = 180
m∠1 + m∠2 = 180
m∠ 5 + m∠6 = 180
m∠3 + m∠4 = 180
m∠7 + m∠8 = 180
[ the sum of all the angles on one side of a straight line is always 180 degrees i.e. supplementary angles]
Learn more about the supplementary angles here:
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