The measure of one of the angles formed by two parallel lines and a transversal is 45°. Is it possible for the measure of any of the other seven angles to be equal to 55°? Explain.

Question

Mathematics

Nathen Moses

22 September, 11:09

The measure of one of the angles formed by two parallel lines and a transversal is 45°. Is it possible for the measure of any of the other seven angles to be equal to 55°? Explain.

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Answers (1)

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Tatiana Johnston · Answer 1

Answer: No

Step-by-step explanation:

Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.