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in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel

in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are-example-1
User Vikas Gupta
by
3.2k points

2 Answers

27 votes
27 votes

Answer:

no,because <1 and <5 are not congruent

Explanation:

i did the test yw

User Idhem
by
2.7k points
26 votes
26 votes

The correct answer is B. Yes, because 1 and 4 are congruent.

Alternate interior angles are congruent when two parallel lines are cut by a transversal. Angles 1 and 4 are alternate interior angles, so they are congruent. This means that lines c and d are parallel.

The other answer choices are incorrect.

A. No, because 1 and 5 are not congruent. This is incorrect because alternate interior angles are congruent, not corresponding angles.

C. Yes, because 5 and 8 are congruent. This is incorrect because corresponding angles are congruent, not alternate interior angles.

D. No, because 1 and 5 are not supplementary. This is incorrect because supplementary angles are angles that add up to 180 degrees. Angles 1 and 5 are not supplementary, but this does not mean that lines c and d are not parallel.

Therefore, the answer is B. Yes, because 1 and 4 are congruent.

User Templaedhel
by
2.9k points
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